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Finding the Third Proportional to 107,485 and 232,481

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Solution

The third proportional to 107,485 and 232,481 is: 502,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,485 : 232,481 = 232,481 : x
  2. Step 2: Convert to fraction form
    107,485/232,481 = 232,481/x
  3. Step 3: Cross multiply
    107,485x = 232,481 × 232,481
  4. Step 4: Simplify right side
    107,485x = 54,047,415,361
  5. Step 5: Solve for x
    x = 54,047,415,361/107,485
  6. Step 6: Final answer
    x = 502,836.82

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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.