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Finding the Third Proportional to 181,102.50 and 286,704.56

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Solution

The third proportional to 181,102.50 and 286,704.56 is: 453,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,102.50 : 286,704.56 = 286,704.56 : x
  2. Step 2: Convert to fraction form
    181,102.50/286,704.56 = 286,704.56/x
  3. Step 3: Cross multiply
    181,102.50x = 286,704.56 × 286,704.56
  4. Step 4: Simplify right side
    181,102.50x = 82,199,506,158.32
  5. Step 5: Solve for x
    x = 82,199,506,158.32/181,102.50
  6. Step 6: Final answer
    x = 453,883.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.