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Finding the Third Proportional to 181,156.50 and 426,253.50

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Solution

The third proportional to 181,156.50 and 426,253.50 is: 1,002,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,156.50 : 426,253.50 = 426,253.50 : x
  2. Step 2: Convert to fraction form
    181,156.50/426,253.50 = 426,253.50/x
  3. Step 3: Cross multiply
    181,156.50x = 426,253.50 × 426,253.50
  4. Step 4: Simplify right side
    181,156.50x = 181,692,046,262.25
  5. Step 5: Solve for x
    x = 181,692,046,262.25/181,156.50
  6. Step 6: Final answer
    x = 1,002,956.26

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.