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Finding the Third Proportional to 169,682.50 and 365,591

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Solution

The third proportional to 169,682.50 and 365,591 is: 787,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,682.50 : 365,591 = 365,591 : x
  2. Step 2: Convert to fraction form
    169,682.50/365,591 = 365,591/x
  3. Step 3: Cross multiply
    169,682.50x = 365,591 × 365,591
  4. Step 4: Simplify right side
    169,682.50x = 133,656,779,281
  5. Step 5: Solve for x
    x = 133,656,779,281/169,682.50
  6. Step 6: Final answer
    x = 787,687.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.