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Finding the Third Proportional to 142,608 and 221,800

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Solution

The third proportional to 142,608 and 221,800 is: 344,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,608 : 221,800 = 221,800 : x
  2. Step 2: Convert to fraction form
    142,608/221,800 = 221,800/x
  3. Step 3: Cross multiply
    142,608x = 221,800 × 221,800
  4. Step 4: Simplify right side
    142,608x = 49,195,240,000
  5. Step 5: Solve for x
    x = 49,195,240,000/142,608
  6. Step 6: Final answer
    x = 344,968.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.