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Finding the Third Proportional to 107,038 and 235,264

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Solution

The third proportional to 107,038 and 235,264 is: 517,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,038 : 235,264 = 235,264 : x
  2. Step 2: Convert to fraction form
    107,038/235,264 = 235,264/x
  3. Step 3: Cross multiply
    107,038x = 235,264 × 235,264
  4. Step 4: Simplify right side
    107,038x = 55,349,149,696
  5. Step 5: Solve for x
    x = 55,349,149,696/107,038
  6. Step 6: Final answer
    x = 517,098.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.