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Finding the Third Proportional to 173,539.97 and 262,159.03

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Solution

The third proportional to 173,539.97 and 262,159.03 is: 396,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,539.97 : 262,159.03 = 262,159.03 : x
  2. Step 2: Convert to fraction form
    173,539.97/262,159.03 = 262,159.03/x
  3. Step 3: Cross multiply
    173,539.97x = 262,159.03 × 262,159.03
  4. Step 4: Simplify right side
    173,539.97x = 68,727,357,665.94
  5. Step 5: Solve for x
    x = 68,727,357,665.94/173,539.97
  6. Step 6: Final answer
    x = 396,031.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.