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Finding the Third Proportional to 135,856 and 297,957

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Solution

The third proportional to 135,856 and 297,957 is: 653,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,856 : 297,957 = 297,957 : x
  2. Step 2: Convert to fraction form
    135,856/297,957 = 297,957/x
  3. Step 3: Cross multiply
    135,856x = 297,957 × 297,957
  4. Step 4: Simplify right side
    135,856x = 88,778,373,849
  5. Step 5: Solve for x
    x = 88,778,373,849/135,856
  6. Step 6: Final answer
    x = 653,474.07

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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.