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Finding the Third Proportional to 182,689 and 286,984

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Solution

The third proportional to 182,689 and 286,984 is: 450,819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,689 : 286,984 = 286,984 : x
  2. Step 2: Convert to fraction form
    182,689/286,984 = 286,984/x
  3. Step 3: Cross multiply
    182,689x = 286,984 × 286,984
  4. Step 4: Simplify right side
    182,689x = 82,359,816,256
  5. Step 5: Solve for x
    x = 82,359,816,256/182,689
  6. Step 6: Final answer
    x = 450,819.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.