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Finding the Third Proportional to 140,587.31 and 217,749.94

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Solution

The third proportional to 140,587.31 and 217,749.94 is: 337,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,587.31 : 217,749.94 = 217,749.94 : x
  2. Step 2: Convert to fraction form
    140,587.31/217,749.94 = 217,749.94/x
  3. Step 3: Cross multiply
    140,587.31x = 217,749.94 × 217,749.94
  4. Step 4: Simplify right side
    140,587.31x = 47,415,035,281.25
  5. Step 5: Solve for x
    x = 47,415,035,281.25/140,587.31
  6. Step 6: Final answer
    x = 337,263.97

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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.