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Finding the Third Proportional to 151,426.50 and 221,631.38

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Solution

The third proportional to 151,426.50 and 221,631.38 is: 324,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,426.50 : 221,631.38 = 221,631.38 : x
  2. Step 2: Convert to fraction form
    151,426.50/221,631.38 = 221,631.38/x
  3. Step 3: Cross multiply
    151,426.50x = 221,631.38 × 221,631.38
  4. Step 4: Simplify right side
    151,426.50x = 49,120,466,384.39
  5. Step 5: Solve for x
    x = 49,120,466,384.39/151,426.50
  6. Step 6: Final answer
    x = 324,384.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.