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Finding the Third Proportional to 182,659 and 286,610

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Solution

The third proportional to 182,659 and 286,610 is: 449,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,659 : 286,610 = 286,610 : x
  2. Step 2: Convert to fraction form
    182,659/286,610 = 286,610/x
  3. Step 3: Cross multiply
    182,659x = 286,610 × 286,610
  4. Step 4: Simplify right side
    182,659x = 82,145,292,100
  5. Step 5: Solve for x
    x = 82,145,292,100/182,659
  6. Step 6: Final answer
    x = 449,719.38

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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.