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Finding the Third Proportional to 169,624 and 356,684

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Solution

The third proportional to 169,624 and 356,684 is: 750,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,624 : 356,684 = 356,684 : x
  2. Step 2: Convert to fraction form
    169,624/356,684 = 356,684/x
  3. Step 3: Cross multiply
    169,624x = 356,684 × 356,684
  4. Step 4: Simplify right side
    169,624x = 127,223,475,856
  5. Step 5: Solve for x
    x = 127,223,475,856/169,624
  6. Step 6: Final answer
    x = 750,032.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.