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Finding the Third Proportional to 169,098 and 357,048

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Solution

The third proportional to 169,098 and 357,048 is: 753,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,098 : 357,048 = 357,048 : x
  2. Step 2: Convert to fraction form
    169,098/357,048 = 357,048/x
  3. Step 3: Cross multiply
    169,098x = 357,048 × 357,048
  4. Step 4: Simplify right side
    169,098x = 127,483,274,304
  5. Step 5: Solve for x
    x = 127,483,274,304/169,098
  6. Step 6: Final answer
    x = 753,901.73

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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.