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Finding the Third Proportional to 136,693 and 295,850

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Solution

The third proportional to 136,693 and 295,850 is: 640,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,693 : 295,850 = 295,850 : x
  2. Step 2: Convert to fraction form
    136,693/295,850 = 295,850/x
  3. Step 3: Cross multiply
    136,693x = 295,850 × 295,850
  4. Step 4: Simplify right side
    136,693x = 87,527,222,500
  5. Step 5: Solve for x
    x = 87,527,222,500/136,693
  6. Step 6: Final answer
    x = 640,319.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.