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Finding the Third Proportional to 135,842 and 296,924

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Solution

The third proportional to 135,842 and 296,924 is: 649,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,842 : 296,924 = 296,924 : x
  2. Step 2: Convert to fraction form
    135,842/296,924 = 296,924/x
  3. Step 3: Cross multiply
    135,842x = 296,924 × 296,924
  4. Step 4: Simplify right side
    135,842x = 88,163,861,776
  5. Step 5: Solve for x
    x = 88,163,861,776/135,842
  6. Step 6: Final answer
    x = 649,017.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.