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Finding the Third Proportional to 233,857.13 and 505,105.88

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Solution

The third proportional to 233,857.13 and 505,105.88 is: 1,090,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,857.13 : 505,105.88 = 505,105.88 : x
  2. Step 2: Convert to fraction form
    233,857.13/505,105.88 = 505,105.88/x
  3. Step 3: Cross multiply
    233,857.13x = 505,105.88 × 505,105.88
  4. Step 4: Simplify right side
    233,857.13x = 255,131,944,959.52
  5. Step 5: Solve for x
    x = 255,131,944,959.52/233,857.13
  6. Step 6: Final answer
    x = 1,090,973.58

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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.