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Finding the Third Proportional to 168,258 and 360,163

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Solution

The third proportional to 168,258 and 360,163 is: 770,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,258 : 360,163 = 360,163 : x
  2. Step 2: Convert to fraction form
    168,258/360,163 = 360,163/x
  3. Step 3: Cross multiply
    168,258x = 360,163 × 360,163
  4. Step 4: Simplify right side
    168,258x = 129,717,386,569
  5. Step 5: Solve for x
    x = 129,717,386,569/168,258
  6. Step 6: Final answer
    x = 770,943.35

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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.