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Finding the Third Proportional to 182,768 and 272,636

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Solution

The third proportional to 182,768 and 272,636 is: 406,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,768 : 272,636 = 272,636 : x
  2. Step 2: Convert to fraction form
    182,768/272,636 = 272,636/x
  3. Step 3: Cross multiply
    182,768x = 272,636 × 272,636
  4. Step 4: Simplify right side
    182,768x = 74,330,388,496
  5. Step 5: Solve for x
    x = 74,330,388,496/182,768
  6. Step 6: Final answer
    x = 406,692.57

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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.