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Finding the Third Proportional to 169,129.50 and 363,774

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Solution

The third proportional to 169,129.50 and 363,774 is: 782,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,129.50 : 363,774 = 363,774 : x
  2. Step 2: Convert to fraction form
    169,129.50/363,774 = 363,774/x
  3. Step 3: Cross multiply
    169,129.50x = 363,774 × 363,774
  4. Step 4: Simplify right side
    169,129.50x = 132,331,523,076
  5. Step 5: Solve for x
    x = 132,331,523,076/169,129.50
  6. Step 6: Final answer
    x = 782,427.21

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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.