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Finding the Third Proportional to 142,469 and 221,474.50

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Solution

The third proportional to 142,469 and 221,474.50 is: 344,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,469 : 221,474.50 = 221,474.50 : x
  2. Step 2: Convert to fraction form
    142,469/221,474.50 = 221,474.50/x
  3. Step 3: Cross multiply
    142,469x = 221,474.50 × 221,474.50
  4. Step 4: Simplify right side
    142,469x = 49,050,954,150.25
  5. Step 5: Solve for x
    x = 49,050,954,150.25/142,469
  6. Step 6: Final answer
    x = 344,292.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.