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Finding the Third Proportional to 140,040 and 215,251.50

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Solution

The third proportional to 140,040 and 215,251.50 is: 330,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,040 : 215,251.50 = 215,251.50 : x
  2. Step 2: Convert to fraction form
    140,040/215,251.50 = 215,251.50/x
  3. Step 3: Cross multiply
    140,040x = 215,251.50 × 215,251.50
  4. Step 4: Simplify right side
    140,040x = 46,333,208,252.25
  5. Step 5: Solve for x
    x = 46,333,208,252.25/140,040
  6. Step 6: Final answer
    x = 330,856.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.