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Finding the Third Proportional to 107,776 and 232,760

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Solution

The third proportional to 107,776 and 232,760 is: 502,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,776 : 232,760 = 232,760 : x
  2. Step 2: Convert to fraction form
    107,776/232,760 = 232,760/x
  3. Step 3: Cross multiply
    107,776x = 232,760 × 232,760
  4. Step 4: Simplify right side
    107,776x = 54,177,217,600
  5. Step 5: Solve for x
    x = 54,177,217,600/107,776
  6. Step 6: Final answer
    x = 502,683.51

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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.