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Finding the Third Proportional to 269,163 and 413,170.88

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Solution

The third proportional to 269,163 and 413,170.88 is: 634,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,163 : 413,170.88 = 413,170.88 : x
  2. Step 2: Convert to fraction form
    269,163/413,170.88 = 413,170.88/x
  3. Step 3: Cross multiply
    269,163x = 413,170.88 × 413,170.88
  4. Step 4: Simplify right side
    269,163x = 170,710,171,948.27
  5. Step 5: Solve for x
    x = 170,710,171,948.27/269,163
  6. Step 6: Final answer
    x = 634,226.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.