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Finding the Third Proportional to 107,337.38 and 233,127.75

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Solution

The third proportional to 107,337.38 and 233,127.75 is: 506,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,337.38 : 233,127.75 = 233,127.75 : x
  2. Step 2: Convert to fraction form
    107,337.38/233,127.75 = 233,127.75/x
  3. Step 3: Cross multiply
    107,337.38x = 233,127.75 × 233,127.75
  4. Step 4: Simplify right side
    107,337.38x = 54,348,547,820.06
  5. Step 5: Solve for x
    x = 54,348,547,820.06/107,337.38
  6. Step 6: Final answer
    x = 506,333.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.