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Finding the Third Proportional to 182,913.75 and 242,691.75

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Solution

The third proportional to 182,913.75 and 242,691.75 is: 322,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,913.75 : 242,691.75 = 242,691.75 : x
  2. Step 2: Convert to fraction form
    182,913.75/242,691.75 = 242,691.75/x
  3. Step 3: Cross multiply
    182,913.75x = 242,691.75 × 242,691.75
  4. Step 4: Simplify right side
    182,913.75x = 58,899,285,518.06
  5. Step 5: Solve for x
    x = 58,899,285,518.06/182,913.75
  6. Step 6: Final answer
    x = 322,005.78

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.