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Finding the Third Proportional to 195,981 and 429,313

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Solution

The third proportional to 195,981 and 429,313 is: 940,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,981 : 429,313 = 429,313 : x
  2. Step 2: Convert to fraction form
    195,981/429,313 = 429,313/x
  3. Step 3: Cross multiply
    195,981x = 429,313 × 429,313
  4. Step 4: Simplify right side
    195,981x = 184,309,651,969
  5. Step 5: Solve for x
    x = 184,309,651,969/195,981
  6. Step 6: Final answer
    x = 940,446.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.