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Finding the Third Proportional to 223,836.75 and 347,101.88

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Solution

The third proportional to 223,836.75 and 347,101.88 is: 538,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,836.75 : 347,101.88 = 347,101.88 : x
  2. Step 2: Convert to fraction form
    223,836.75/347,101.88 = 347,101.88/x
  3. Step 3: Cross multiply
    223,836.75x = 347,101.88 × 347,101.88
  4. Step 4: Simplify right side
    223,836.75x = 120,479,711,628.52
  5. Step 5: Solve for x
    x = 120,479,711,628.52/223,836.75
  6. Step 6: Final answer
    x = 538,248.13

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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.