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Finding the Third Proportional to 178,632 and 242,588

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Solution

The third proportional to 178,632 and 242,588 is: 329,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,632 : 242,588 = 242,588 : x
  2. Step 2: Convert to fraction form
    178,632/242,588 = 242,588/x
  3. Step 3: Cross multiply
    178,632x = 242,588 × 242,588
  4. Step 4: Simplify right side
    178,632x = 58,848,937,744
  5. Step 5: Solve for x
    x = 58,848,937,744/178,632
  6. Step 6: Final answer
    x = 329,442.30

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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.