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Finding the Third Proportional to 178,497 and 242,298

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Solution

The third proportional to 178,497 and 242,298 is: 328,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,497 : 242,298 = 242,298 : x
  2. Step 2: Convert to fraction form
    178,497/242,298 = 242,298/x
  3. Step 3: Cross multiply
    178,497x = 242,298 × 242,298
  4. Step 4: Simplify right side
    178,497x = 58,708,320,804
  5. Step 5: Solve for x
    x = 58,708,320,804/178,497
  6. Step 6: Final answer
    x = 328,903.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.