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Finding the Third Proportional to 178,432 and 242,214

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Solution

The third proportional to 178,432 and 242,214 is: 328,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,432 : 242,214 = 242,214 : x
  2. Step 2: Convert to fraction form
    178,432/242,214 = 242,214/x
  3. Step 3: Cross multiply
    178,432x = 242,214 × 242,214
  4. Step 4: Simplify right side
    178,432x = 58,667,621,796
  5. Step 5: Solve for x
    x = 58,667,621,796/178,432
  6. Step 6: Final answer
    x = 328,795.41

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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.