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Finding the Third Proportional to 181,489 and 280,387.50

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Solution

The third proportional to 181,489 and 280,387.50 is: 433,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,489 : 280,387.50 = 280,387.50 : x
  2. Step 2: Convert to fraction form
    181,489/280,387.50 = 280,387.50/x
  3. Step 3: Cross multiply
    181,489x = 280,387.50 × 280,387.50
  4. Step 4: Simplify right side
    181,489x = 78,617,150,156.25
  5. Step 5: Solve for x
    x = 78,617,150,156.25/181,489
  6. Step 6: Final answer
    x = 433,178.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.