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Finding the Third Proportional to 140,472 and 215,406

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Solution

The third proportional to 140,472 and 215,406 is: 330,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,472 : 215,406 = 215,406 : x
  2. Step 2: Convert to fraction form
    140,472/215,406 = 215,406/x
  3. Step 3: Cross multiply
    140,472x = 215,406 × 215,406
  4. Step 4: Simplify right side
    140,472x = 46,399,744,836
  5. Step 5: Solve for x
    x = 46,399,744,836/140,472
  6. Step 6: Final answer
    x = 330,313.12

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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.