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Finding the Third Proportional to 174,688 and 263,478

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Solution

The third proportional to 174,688 and 263,478 is: 397,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,688 : 263,478 = 263,478 : x
  2. Step 2: Convert to fraction form
    174,688/263,478 = 263,478/x
  3. Step 3: Cross multiply
    174,688x = 263,478 × 263,478
  4. Step 4: Simplify right side
    174,688x = 69,420,656,484
  5. Step 5: Solve for x
    x = 69,420,656,484/174,688
  6. Step 6: Final answer
    x = 397,397.97

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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.