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Finding the Third Proportional to 233,858.95 and 505,139.91

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Solution

The third proportional to 233,858.95 and 505,139.91 is: 1,091,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,858.95 : 505,139.91 = 505,139.91 : x
  2. Step 2: Convert to fraction form
    233,858.95/505,139.91 = 505,139.91/x
  3. Step 3: Cross multiply
    233,858.95x = 505,139.91 × 505,139.91
  4. Step 4: Simplify right side
    233,858.95x = 255,166,324,886.26
  5. Step 5: Solve for x
    x = 255,166,324,886.26/233,858.95
  6. Step 6: Final answer
    x = 1,091,112.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.