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Finding the Third Proportional to 239,071.50 and 334,489.50

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Solution

The third proportional to 239,071.50 and 334,489.50 is: 467,990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,071.50 : 334,489.50 = 334,489.50 : x
  2. Step 2: Convert to fraction form
    239,071.50/334,489.50 = 334,489.50/x
  3. Step 3: Cross multiply
    239,071.50x = 334,489.50 × 334,489.50
  4. Step 4: Simplify right side
    239,071.50x = 111,883,225,610.25
  5. Step 5: Solve for x
    x = 111,883,225,610.25/239,071.50
  6. Step 6: Final answer
    x = 467,990.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.