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Finding the Third Proportional to 172,338 and 257,478

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Solution

The third proportional to 172,338 and 257,478 is: 384,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,338 : 257,478 = 257,478 : x
  2. Step 2: Convert to fraction form
    172,338/257,478 = 257,478/x
  3. Step 3: Cross multiply
    172,338x = 257,478 × 257,478
  4. Step 4: Simplify right side
    172,338x = 66,294,920,484
  5. Step 5: Solve for x
    x = 66,294,920,484/172,338
  6. Step 6: Final answer
    x = 384,679.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.