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Finding the Third Proportional to 195,996 and 429,356

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Solution

The third proportional to 195,996 and 429,356 is: 940,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,996 : 429,356 = 429,356 : x
  2. Step 2: Convert to fraction form
    195,996/429,356 = 429,356/x
  3. Step 3: Cross multiply
    195,996x = 429,356 × 429,356
  4. Step 4: Simplify right side
    195,996x = 184,346,574,736
  5. Step 5: Solve for x
    x = 184,346,574,736/195,996
  6. Step 6: Final answer
    x = 940,562.94

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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.