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Finding the Third Proportional to 140,810 and 216,142

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Solution

The third proportional to 140,810 and 216,142 is: 331,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,810 : 216,142 = 216,142 : x
  2. Step 2: Convert to fraction form
    140,810/216,142 = 216,142/x
  3. Step 3: Cross multiply
    140,810x = 216,142 × 216,142
  4. Step 4: Simplify right side
    140,810x = 46,717,364,164
  5. Step 5: Solve for x
    x = 46,717,364,164/140,810
  6. Step 6: Final answer
    x = 331,775.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.