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Finding the Third Proportional to 168,348 and 371,688

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Solution

The third proportional to 168,348 and 371,688 is: 820,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,348 : 371,688 = 371,688 : x
  2. Step 2: Convert to fraction form
    168,348/371,688 = 371,688/x
  3. Step 3: Cross multiply
    168,348x = 371,688 × 371,688
  4. Step 4: Simplify right side
    168,348x = 138,151,969,344
  5. Step 5: Solve for x
    x = 138,151,969,344/168,348
  6. Step 6: Final answer
    x = 820,633.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.