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Finding the Third Proportional to 182,008 and 280,788

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Solution

The third proportional to 182,008 and 280,788 is: 433,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,008 : 280,788 = 280,788 : x
  2. Step 2: Convert to fraction form
    182,008/280,788 = 280,788/x
  3. Step 3: Cross multiply
    182,008x = 280,788 × 280,788
  4. Step 4: Simplify right side
    182,008x = 78,841,900,944
  5. Step 5: Solve for x
    x = 78,841,900,944/182,008
  6. Step 6: Final answer
    x = 433,178.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.