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Finding the Third Proportional to 174,416 and 262,902

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Solution

The third proportional to 174,416 and 262,902 is: 396,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,416 : 262,902 = 262,902 : x
  2. Step 2: Convert to fraction form
    174,416/262,902 = 262,902/x
  3. Step 3: Cross multiply
    174,416x = 262,902 × 262,902
  4. Step 4: Simplify right side
    174,416x = 69,117,461,604
  5. Step 5: Solve for x
    x = 69,117,461,604/174,416
  6. Step 6: Final answer
    x = 396,279.36

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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.