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Finding the Third Proportional to 170,098 and 356,598

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Solution

The third proportional to 170,098 and 356,598 is: 747,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,098 : 356,598 = 356,598 : x
  2. Step 2: Convert to fraction form
    170,098/356,598 = 356,598/x
  3. Step 3: Cross multiply
    170,098x = 356,598 × 356,598
  4. Step 4: Simplify right side
    170,098x = 127,162,133,604
  5. Step 5: Solve for x
    x = 127,162,133,604/170,098
  6. Step 6: Final answer
    x = 747,581.59

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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.