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Finding the Third Proportional to 195,782 and 427,514

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Solution

The third proportional to 195,782 and 427,514 is: 933,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,782 : 427,514 = 427,514 : x
  2. Step 2: Convert to fraction form
    195,782/427,514 = 427,514/x
  3. Step 3: Cross multiply
    195,782x = 427,514 × 427,514
  4. Step 4: Simplify right side
    195,782x = 182,768,220,196
  5. Step 5: Solve for x
    x = 182,768,220,196/195,782
  6. Step 6: Final answer
    x = 933,529.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.