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Finding the Third Proportional to 197,192 and 429,610

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Solution

The third proportional to 197,192 and 429,610 is: 935,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,192 : 429,610 = 429,610 : x
  2. Step 2: Convert to fraction form
    197,192/429,610 = 429,610/x
  3. Step 3: Cross multiply
    197,192x = 429,610 × 429,610
  4. Step 4: Simplify right side
    197,192x = 184,564,752,100
  5. Step 5: Solve for x
    x = 184,564,752,100/197,192
  6. Step 6: Final answer
    x = 935,964.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.