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Finding the Third Proportional to 107,270.75 and 231,402.50

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Solution

The third proportional to 107,270.75 and 231,402.50 is: 499,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,270.75 : 231,402.50 = 231,402.50 : x
  2. Step 2: Convert to fraction form
    107,270.75/231,402.50 = 231,402.50/x
  3. Step 3: Cross multiply
    107,270.75x = 231,402.50 × 231,402.50
  4. Step 4: Simplify right side
    107,270.75x = 53,547,117,006.25
  5. Step 5: Solve for x
    x = 53,547,117,006.25/107,270.75
  6. Step 6: Final answer
    x = 499,177.24

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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.