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Finding the Third Proportional to 220,711 and 349,723.50

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Solution

The third proportional to 220,711 and 349,723.50 is: 554,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,711 : 349,723.50 = 349,723.50 : x
  2. Step 2: Convert to fraction form
    220,711/349,723.50 = 349,723.50/x
  3. Step 3: Cross multiply
    220,711x = 349,723.50 × 349,723.50
  4. Step 4: Simplify right side
    220,711x = 122,306,526,452.25
  5. Step 5: Solve for x
    x = 122,306,526,452.25/220,711
  6. Step 6: Final answer
    x = 554,147.85

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.