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Finding the Third Proportional to 168,338 and 360,321

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Solution

The third proportional to 168,338 and 360,321 is: 771,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,338 : 360,321 = 360,321 : x
  2. Step 2: Convert to fraction form
    168,338/360,321 = 360,321/x
  3. Step 3: Cross multiply
    168,338x = 360,321 × 360,321
  4. Step 4: Simplify right side
    168,338x = 129,831,223,041
  5. Step 5: Solve for x
    x = 129,831,223,041/168,338
  6. Step 6: Final answer
    x = 771,253.21

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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.