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Finding the Third Proportional to 140,418 and 226,203.75

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Solution

The third proportional to 140,418 and 226,203.75 is: 364,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,418 : 226,203.75 = 226,203.75 : x
  2. Step 2: Convert to fraction form
    140,418/226,203.75 = 226,203.75/x
  3. Step 3: Cross multiply
    140,418x = 226,203.75 × 226,203.75
  4. Step 4: Simplify right side
    140,418x = 51,168,136,514.06
  5. Step 5: Solve for x
    x = 51,168,136,514.06/140,418
  6. Step 6: Final answer
    x = 364,398.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.