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Finding the Third Proportional to 139,428 and 209,460

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Solution

The third proportional to 139,428 and 209,460 is: 314,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,428 : 209,460 = 209,460 : x
  2. Step 2: Convert to fraction form
    139,428/209,460 = 209,460/x
  3. Step 3: Cross multiply
    139,428x = 209,460 × 209,460
  4. Step 4: Simplify right side
    139,428x = 43,873,491,600
  5. Step 5: Solve for x
    x = 43,873,491,600/139,428
  6. Step 6: Final answer
    x = 314,667.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.