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Finding the Third Proportional to 261,765 and 415,164

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Solution

The third proportional to 261,765 and 415,164 is: 658,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,765 : 415,164 = 415,164 : x
  2. Step 2: Convert to fraction form
    261,765/415,164 = 415,164/x
  3. Step 3: Cross multiply
    261,765x = 415,164 × 415,164
  4. Step 4: Simplify right side
    261,765x = 172,361,146,896
  5. Step 5: Solve for x
    x = 172,361,146,896/261,765
  6. Step 6: Final answer
    x = 658,457.57

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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.