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Finding the Third Proportional to 174,448 and 375,626

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Solution

The third proportional to 174,448 and 375,626 is: 808,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,448 : 375,626 = 375,626 : x
  2. Step 2: Convert to fraction form
    174,448/375,626 = 375,626/x
  3. Step 3: Cross multiply
    174,448x = 375,626 × 375,626
  4. Step 4: Simplify right side
    174,448x = 141,094,891,876
  5. Step 5: Solve for x
    x = 141,094,891,876/174,448
  6. Step 6: Final answer
    x = 808,807.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.