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Finding the Third Proportional to 167,675 and 360,319

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Solution

The third proportional to 167,675 and 360,319 is: 774,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,675 : 360,319 = 360,319 : x
  2. Step 2: Convert to fraction form
    167,675/360,319 = 360,319/x
  3. Step 3: Cross multiply
    167,675x = 360,319 × 360,319
  4. Step 4: Simplify right side
    167,675x = 129,829,781,761
  5. Step 5: Solve for x
    x = 129,829,781,761/167,675
  6. Step 6: Final answer
    x = 774,294.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.