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Finding the Third Proportional to 178,648 and 242,612

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Solution

The third proportional to 178,648 and 242,612 is: 329,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,648 : 242,612 = 242,612 : x
  2. Step 2: Convert to fraction form
    178,648/242,612 = 242,612/x
  3. Step 3: Cross multiply
    178,648x = 242,612 × 242,612
  4. Step 4: Simplify right side
    178,648x = 58,860,582,544
  5. Step 5: Solve for x
    x = 58,860,582,544/178,648
  6. Step 6: Final answer
    x = 329,477.98

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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.