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Finding the Third Proportional to 181,652.31 and 283,515.66

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Solution

The third proportional to 181,652.31 and 283,515.66 is: 442,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,652.31 : 283,515.66 = 283,515.66 : x
  2. Step 2: Convert to fraction form
    181,652.31/283,515.66 = 283,515.66/x
  3. Step 3: Cross multiply
    181,652.31x = 283,515.66 × 283,515.66
  4. Step 4: Simplify right side
    181,652.31x = 80,381,130,661.32
  5. Step 5: Solve for x
    x = 80,381,130,661.32/181,652.31
  6. Step 6: Final answer
    x = 442,499.91

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Why These Related Problems?

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