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Finding the Third Proportional to 254,247.50 and 345,299.50

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Solution

The third proportional to 254,247.50 and 345,299.50 is: 468,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,247.50 : 345,299.50 = 345,299.50 : x
  2. Step 2: Convert to fraction form
    254,247.50/345,299.50 = 345,299.50/x
  3. Step 3: Cross multiply
    254,247.50x = 345,299.50 × 345,299.50
  4. Step 4: Simplify right side
    254,247.50x = 119,231,744,700.25
  5. Step 5: Solve for x
    x = 119,231,744,700.25/254,247.50
  6. Step 6: Final answer
    x = 468,959.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.