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Finding the Third Proportional to 162,454 and 252,514

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Solution

The third proportional to 162,454 and 252,514 is: 392,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,454 : 252,514 = 252,514 : x
  2. Step 2: Convert to fraction form
    162,454/252,514 = 252,514/x
  3. Step 3: Cross multiply
    162,454x = 252,514 × 252,514
  4. Step 4: Simplify right side
    162,454x = 63,763,320,196
  5. Step 5: Solve for x
    x = 63,763,320,196/162,454
  6. Step 6: Final answer
    x = 392,500.77

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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.