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Finding the Third Proportional to 162,760 and 251,514

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Solution

The third proportional to 162,760 and 251,514 is: 388,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,760 : 251,514 = 251,514 : x
  2. Step 2: Convert to fraction form
    162,760/251,514 = 251,514/x
  3. Step 3: Cross multiply
    162,760x = 251,514 × 251,514
  4. Step 4: Simplify right side
    162,760x = 63,259,292,196
  5. Step 5: Solve for x
    x = 63,259,292,196/162,760
  6. Step 6: Final answer
    x = 388,666.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.