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Finding the Third Proportional to 168,258 and 359,862

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Solution

The third proportional to 168,258 and 359,862 is: 769,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,258 : 359,862 = 359,862 : x
  2. Step 2: Convert to fraction form
    168,258/359,862 = 359,862/x
  3. Step 3: Cross multiply
    168,258x = 359,862 × 359,862
  4. Step 4: Simplify right side
    168,258x = 129,500,659,044
  5. Step 5: Solve for x
    x = 129,500,659,044/168,258
  6. Step 6: Final answer
    x = 769,655.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.