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Finding the Third Proportional to 131,904 and 197,856

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Solution

The third proportional to 131,904 and 197,856 is: 296,784

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,904 : 197,856 = 197,856 : x
  2. Step 2: Convert to fraction form
    131,904/197,856 = 197,856/x
  3. Step 3: Cross multiply
    131,904x = 197,856 × 197,856
  4. Step 4: Simplify right side
    131,904x = 39,146,996,736
  5. Step 5: Solve for x
    x = 39,146,996,736/131,904
  6. Step 6: Final answer
    x = 296,784

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.