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Finding the Third Proportional to 143,524 and 213,646

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Solution

The third proportional to 143,524 and 213,646 is: 318,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,524 : 213,646 = 213,646 : x
  2. Step 2: Convert to fraction form
    143,524/213,646 = 213,646/x
  3. Step 3: Cross multiply
    143,524x = 213,646 × 213,646
  4. Step 4: Simplify right side
    143,524x = 45,644,613,316
  5. Step 5: Solve for x
    x = 45,644,613,316/143,524
  6. Step 6: Final answer
    x = 318,027.74

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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.