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Finding the Third Proportional to 173,959.75 and 269,357

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Solution

The third proportional to 173,959.75 and 269,357 is: 417,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,959.75 : 269,357 = 269,357 : x
  2. Step 2: Convert to fraction form
    173,959.75/269,357 = 269,357/x
  3. Step 3: Cross multiply
    173,959.75x = 269,357 × 269,357
  4. Step 4: Simplify right side
    173,959.75x = 72,553,193,449
  5. Step 5: Solve for x
    x = 72,553,193,449/173,959.75
  6. Step 6: Final answer
    x = 417,068.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.