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Finding the Third Proportional to 142,462 and 221,463.75

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Solution

The third proportional to 142,462 and 221,463.75 is: 344,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,462 : 221,463.75 = 221,463.75 : x
  2. Step 2: Convert to fraction form
    142,462/221,463.75 = 221,463.75/x
  3. Step 3: Cross multiply
    142,462x = 221,463.75 × 221,463.75
  4. Step 4: Simplify right side
    142,462x = 49,046,192,564.06
  5. Step 5: Solve for x
    x = 49,046,192,564.06/142,462
  6. Step 6: Final answer
    x = 344,275.61

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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.