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Finding the Third Proportional to 178,623 and 246,060

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Solution

The third proportional to 178,623 and 246,060 is: 338,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,623 : 246,060 = 246,060 : x
  2. Step 2: Convert to fraction form
    178,623/246,060 = 246,060/x
  3. Step 3: Cross multiply
    178,623x = 246,060 × 246,060
  4. Step 4: Simplify right side
    178,623x = 60,545,523,600
  5. Step 5: Solve for x
    x = 60,545,523,600/178,623
  6. Step 6: Final answer
    x = 338,957.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.