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Finding the Third Proportional to 178,714 and 272,264

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Solution

The third proportional to 178,714 and 272,264 is: 414,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,714 : 272,264 = 272,264 : x
  2. Step 2: Convert to fraction form
    178,714/272,264 = 272,264/x
  3. Step 3: Cross multiply
    178,714x = 272,264 × 272,264
  4. Step 4: Simplify right side
    178,714x = 74,127,685,696
  5. Step 5: Solve for x
    x = 74,127,685,696/178,714
  6. Step 6: Final answer
    x = 414,783.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.