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Finding the Third Proportional to 142,608 and 221,712

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Solution

The third proportional to 142,608 and 221,712 is: 344,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,608 : 221,712 = 221,712 : x
  2. Step 2: Convert to fraction form
    142,608/221,712 = 221,712/x
  3. Step 3: Cross multiply
    142,608x = 221,712 × 221,712
  4. Step 4: Simplify right side
    142,608x = 49,156,210,944
  5. Step 5: Solve for x
    x = 49,156,210,944/142,608
  6. Step 6: Final answer
    x = 344,694.62

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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.