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Finding the Third Proportional to 87,442.50 and 181,457

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Solution

The third proportional to 87,442.50 and 181,457 is: 376,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,442.50 : 181,457 = 181,457 : x
  2. Step 2: Convert to fraction form
    87,442.50/181,457 = 181,457/x
  3. Step 3: Cross multiply
    87,442.50x = 181,457 × 181,457
  4. Step 4: Simplify right side
    87,442.50x = 32,926,642,849
  5. Step 5: Solve for x
    x = 32,926,642,849/87,442.50
  6. Step 6: Final answer
    x = 376,551.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.