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Finding the Third Proportional to 182,778.75 and 272,646

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Solution

The third proportional to 182,778.75 and 272,646 is: 406,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,778.75 : 272,646 = 272,646 : x
  2. Step 2: Convert to fraction form
    182,778.75/272,646 = 272,646/x
  3. Step 3: Cross multiply
    182,778.75x = 272,646 × 272,646
  4. Step 4: Simplify right side
    182,778.75x = 74,335,841,316
  5. Step 5: Solve for x
    x = 74,335,841,316/182,778.75
  6. Step 6: Final answer
    x = 406,698.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.