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Finding the Third Proportional to 169,060 and 356,982

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Solution

The third proportional to 169,060 and 356,982 is: 753,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,060 : 356,982 = 356,982 : x
  2. Step 2: Convert to fraction form
    169,060/356,982 = 356,982/x
  3. Step 3: Cross multiply
    169,060x = 356,982 × 356,982
  4. Step 4: Simplify right side
    169,060x = 127,436,148,324
  5. Step 5: Solve for x
    x = 127,436,148,324/169,060
  6. Step 6: Final answer
    x = 753,792.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.