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Finding the Third Proportional to 195,972 and 429,295

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Solution

The third proportional to 195,972 and 429,295 is: 940,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,972 : 429,295 = 429,295 : x
  2. Step 2: Convert to fraction form
    195,972/429,295 = 429,295/x
  3. Step 3: Cross multiply
    195,972x = 429,295 × 429,295
  4. Step 4: Simplify right side
    195,972x = 184,294,197,025
  5. Step 5: Solve for x
    x = 184,294,197,025/195,972
  6. Step 6: Final answer
    x = 940,410.86

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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.