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Finding the Third Proportional to 261,776 and 415,182

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Solution

The third proportional to 261,776 and 415,182 is: 658,487.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,776 : 415,182 = 415,182 : x
  2. Step 2: Convert to fraction form
    261,776/415,182 = 415,182/x
  3. Step 3: Cross multiply
    261,776x = 415,182 × 415,182
  4. Step 4: Simplify right side
    261,776x = 172,376,093,124
  5. Step 5: Solve for x
    x = 172,376,093,124/261,776
  6. Step 6: Final answer
    x = 658,487.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.