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Finding the Third Proportional to 140,448 and 212,460

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Solution

The third proportional to 140,448 and 212,460 is: 321,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,448 : 212,460 = 212,460 : x
  2. Step 2: Convert to fraction form
    140,448/212,460 = 212,460/x
  3. Step 3: Cross multiply
    140,448x = 212,460 × 212,460
  4. Step 4: Simplify right side
    140,448x = 45,139,251,600
  5. Step 5: Solve for x
    x = 45,139,251,600/140,448
  6. Step 6: Final answer
    x = 321,394.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.