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Finding the Third Proportional to 135,597 and 200,628

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Solution

The third proportional to 135,597 and 200,628 is: 296,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,597 : 200,628 = 200,628 : x
  2. Step 2: Convert to fraction form
    135,597/200,628 = 200,628/x
  3. Step 3: Cross multiply
    135,597x = 200,628 × 200,628
  4. Step 4: Simplify right side
    135,597x = 40,251,594,384
  5. Step 5: Solve for x
    x = 40,251,594,384/135,597
  6. Step 6: Final answer
    x = 296,847.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.