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Finding the Third Proportional to 132,765 and 286,659

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Solution

The third proportional to 132,765 and 286,659 is: 618,938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,765 : 286,659 = 286,659 : x
  2. Step 2: Convert to fraction form
    132,765/286,659 = 286,659/x
  3. Step 3: Cross multiply
    132,765x = 286,659 × 286,659
  4. Step 4: Simplify right side
    132,765x = 82,173,382,281
  5. Step 5: Solve for x
    x = 82,173,382,281/132,765
  6. Step 6: Final answer
    x = 618,938.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.