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Finding the Third Proportional to 172,782 and 257,841

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Solution

The third proportional to 172,782 and 257,841 is: 384,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,782 : 257,841 = 257,841 : x
  2. Step 2: Convert to fraction form
    172,782/257,841 = 257,841/x
  3. Step 3: Cross multiply
    172,782x = 257,841 × 257,841
  4. Step 4: Simplify right side
    172,782x = 66,481,981,281
  5. Step 5: Solve for x
    x = 66,481,981,281/172,782
  6. Step 6: Final answer
    x = 384,773.77

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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.