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Finding the Third Proportional to 178,272 and 234,684

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Solution

The third proportional to 178,272 and 234,684 is: 308,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,272 : 234,684 = 234,684 : x
  2. Step 2: Convert to fraction form
    178,272/234,684 = 234,684/x
  3. Step 3: Cross multiply
    178,272x = 234,684 × 234,684
  4. Step 4: Simplify right side
    178,272x = 55,076,579,856
  5. Step 5: Solve for x
    x = 55,076,579,856/178,272
  6. Step 6: Final answer
    x = 308,946.89

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.