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Finding the Third Proportional to 233,372.07 and 509,156.19

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Solution

The third proportional to 233,372.07 and 509,156.19 is: 1,110,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,372.07 : 509,156.19 = 509,156.19 : x
  2. Step 2: Convert to fraction form
    233,372.07/509,156.19 = 509,156.19/x
  3. Step 3: Cross multiply
    233,372.07x = 509,156.19 × 509,156.19
  4. Step 4: Simplify right side
    233,372.07x = 259,240,027,247.32
  5. Step 5: Solve for x
    x = 259,240,027,247.32/233,372.07
  6. Step 6: Final answer
    x = 1,110,844.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.