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Finding the Third Proportional to 191,874 and 416,352

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Solution

The third proportional to 191,874 and 416,352 is: 903,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,874 : 416,352 = 416,352 : x
  2. Step 2: Convert to fraction form
    191,874/416,352 = 416,352/x
  3. Step 3: Cross multiply
    191,874x = 416,352 × 416,352
  4. Step 4: Simplify right side
    191,874x = 173,348,987,904
  5. Step 5: Solve for x
    x = 173,348,987,904/191,874
  6. Step 6: Final answer
    x = 903,452.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.