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Finding the Third Proportional to 239,674.50 and 345,255.75

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Solution

The third proportional to 239,674.50 and 345,255.75 is: 497,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,674.50 : 345,255.75 = 345,255.75 : x
  2. Step 2: Convert to fraction form
    239,674.50/345,255.75 = 345,255.75/x
  3. Step 3: Cross multiply
    239,674.50x = 345,255.75 × 345,255.75
  4. Step 4: Simplify right side
    239,674.50x = 119,201,532,908.06
  5. Step 5: Solve for x
    x = 119,201,532,908.06/239,674.50
  6. Step 6: Final answer
    x = 497,347.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.