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Finding the Third Proportional to 140,200.88 and 217,501.88

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Solution

The third proportional to 140,200.88 and 217,501.88 is: 337,423.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,200.88 : 217,501.88 = 217,501.88 : x
  2. Step 2: Convert to fraction form
    140,200.88/217,501.88 = 217,501.88/x
  3. Step 3: Cross multiply
    140,200.88x = 217,501.88 × 217,501.88
  4. Step 4: Simplify right side
    140,200.88x = 47,307,065,628.52
  5. Step 5: Solve for x
    x = 47,307,065,628.52/140,200.88
  6. Step 6: Final answer
    x = 337,423.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.