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Finding the Third Proportional to 171,267.75 and 371,714.06

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Solution

The third proportional to 171,267.75 and 371,714.06 is: 806,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,267.75 : 371,714.06 = 371,714.06 : x
  2. Step 2: Convert to fraction form
    171,267.75/371,714.06 = 371,714.06/x
  3. Step 3: Cross multiply
    171,267.75x = 371,714.06 × 371,714.06
  4. Step 4: Simplify right side
    171,267.75x = 138,171,344,260.25
  5. Step 5: Solve for x
    x = 138,171,344,260.25/171,267.75
  6. Step 6: Final answer
    x = 806,756.35

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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.