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Finding the Third Proportional to 241,331 and 317,352

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Solution

The third proportional to 241,331 and 317,352 is: 417,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,331 : 317,352 = 317,352 : x
  2. Step 2: Convert to fraction form
    241,331/317,352 = 317,352/x
  3. Step 3: Cross multiply
    241,331x = 317,352 × 317,352
  4. Step 4: Simplify right side
    241,331x = 100,712,291,904
  5. Step 5: Solve for x
    x = 100,712,291,904/241,331
  6. Step 6: Final answer
    x = 417,320.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.