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Finding the Third Proportional to 266,908.50 and 415,671.75

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Solution

The third proportional to 266,908.50 and 415,671.75 is: 647,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,908.50 : 415,671.75 = 415,671.75 : x
  2. Step 2: Convert to fraction form
    266,908.50/415,671.75 = 415,671.75/x
  3. Step 3: Cross multiply
    266,908.50x = 415,671.75 × 415,671.75
  4. Step 4: Simplify right side
    266,908.50x = 172,783,003,748.06
  5. Step 5: Solve for x
    x = 172,783,003,748.06/266,908.50
  6. Step 6: Final answer
    x = 647,349.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.