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Finding the Third Proportional to 151,782 and 227,490

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Solution

The third proportional to 151,782 and 227,490 is: 340,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,782 : 227,490 = 227,490 : x
  2. Step 2: Convert to fraction form
    151,782/227,490 = 227,490/x
  3. Step 3: Cross multiply
    151,782x = 227,490 × 227,490
  4. Step 4: Simplify right side
    151,782x = 51,751,700,100
  5. Step 5: Solve for x
    x = 51,751,700,100/151,782
  6. Step 6: Final answer
    x = 340,960.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.