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Finding the Third Proportional to 182,405 and 272,877

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Solution

The third proportional to 182,405 and 272,877 is: 408,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,405 : 272,877 = 272,877 : x
  2. Step 2: Convert to fraction form
    182,405/272,877 = 272,877/x
  3. Step 3: Cross multiply
    182,405x = 272,877 × 272,877
  4. Step 4: Simplify right side
    182,405x = 74,461,857,129
  5. Step 5: Solve for x
    x = 74,461,857,129/182,405
  6. Step 6: Final answer
    x = 408,222.68

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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.