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Finding the Third Proportional to 242,947.69 and 381,079.69

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Solution

The third proportional to 242,947.69 and 381,079.69 is: 597,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,947.69 : 381,079.69 = 381,079.69 : x
  2. Step 2: Convert to fraction form
    242,947.69/381,079.69 = 381,079.69/x
  3. Step 3: Cross multiply
    242,947.69x = 381,079.69 × 381,079.69
  4. Step 4: Simplify right side
    242,947.69x = 145,221,728,225.10
  5. Step 5: Solve for x
    x = 145,221,728,225.10/242,947.69
  6. Step 6: Final answer
    x = 597,748.96

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.