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Finding the Third Proportional to 119,040 and 191,395

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Solution

The third proportional to 119,040 and 191,395 is: 307,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,040 : 191,395 = 191,395 : x
  2. Step 2: Convert to fraction form
    119,040/191,395 = 191,395/x
  3. Step 3: Cross multiply
    119,040x = 191,395 × 191,395
  4. Step 4: Simplify right side
    119,040x = 36,632,046,025
  5. Step 5: Solve for x
    x = 36,632,046,025/119,040
  6. Step 6: Final answer
    x = 307,728.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.