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Finding the Third Proportional to 119,586.38 and 239,071.50

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Solution

The third proportional to 119,586.38 and 239,071.50 is: 477,940.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,586.38 : 239,071.50 = 239,071.50 : x
  2. Step 2: Convert to fraction form
    119,586.38/239,071.50 = 239,071.50/x
  3. Step 3: Cross multiply
    119,586.38x = 239,071.50 × 239,071.50
  4. Step 4: Simplify right side
    119,586.38x = 57,155,182,112.25
  5. Step 5: Solve for x
    x = 57,155,182,112.25/119,586.38
  6. Step 6: Final answer
    x = 477,940.59

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.