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Finding the Third Proportional to 182,397 and 272,865

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Solution

The third proportional to 182,397 and 272,865 is: 408,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,397 : 272,865 = 272,865 : x
  2. Step 2: Convert to fraction form
    182,397/272,865 = 272,865/x
  3. Step 3: Cross multiply
    182,397x = 272,865 × 272,865
  4. Step 4: Simplify right side
    182,397x = 74,455,308,225
  5. Step 5: Solve for x
    x = 74,455,308,225/182,397
  6. Step 6: Final answer
    x = 408,204.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.