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Finding the Third Proportional to 169,687 and 365,600

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Solution

The third proportional to 169,687 and 365,600 is: 787,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,687 : 365,600 = 365,600 : x
  2. Step 2: Convert to fraction form
    169,687/365,600 = 365,600/x
  3. Step 3: Cross multiply
    169,687x = 365,600 × 365,600
  4. Step 4: Simplify right side
    169,687x = 133,663,360,000
  5. Step 5: Solve for x
    x = 133,663,360,000/169,687
  6. Step 6: Final answer
    x = 787,705.36

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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.