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Finding the Third Proportional to 131,776 and 197,184

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Solution

The third proportional to 131,776 and 197,184 is: 295,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,776 : 197,184 = 197,184 : x
  2. Step 2: Convert to fraction form
    131,776/197,184 = 197,184/x
  3. Step 3: Cross multiply
    131,776x = 197,184 × 197,184
  4. Step 4: Simplify right side
    131,776x = 38,881,529,856
  5. Step 5: Solve for x
    x = 38,881,529,856/131,776
  6. Step 6: Final answer
    x = 295,057.75

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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.