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Finding the Third Proportional to 169,375 and 247,701

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Solution

The third proportional to 169,375 and 247,701 is: 362,248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,375 : 247,701 = 247,701 : x
  2. Step 2: Convert to fraction form
    169,375/247,701 = 247,701/x
  3. Step 3: Cross multiply
    169,375x = 247,701 × 247,701
  4. Step 4: Simplify right side
    169,375x = 61,355,785,401
  5. Step 5: Solve for x
    x = 61,355,785,401/169,375
  6. Step 6: Final answer
    x = 362,248.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.