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Finding the Third Proportional to 168,101 and 359,987

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Solution

The third proportional to 168,101 and 359,987 is: 770,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,101 : 359,987 = 359,987 : x
  2. Step 2: Convert to fraction form
    168,101/359,987 = 359,987/x
  3. Step 3: Cross multiply
    168,101x = 359,987 × 359,987
  4. Step 4: Simplify right side
    168,101x = 129,590,640,169
  5. Step 5: Solve for x
    x = 129,590,640,169/168,101
  6. Step 6: Final answer
    x = 770,909.39

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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.