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Finding the Third Proportional to 254,253.50 and 345,304.50

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Solution

The third proportional to 254,253.50 and 345,304.50 is: 468,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,253.50 : 345,304.50 = 345,304.50 : x
  2. Step 2: Convert to fraction form
    254,253.50/345,304.50 = 345,304.50/x
  3. Step 3: Cross multiply
    254,253.50x = 345,304.50 × 345,304.50
  4. Step 4: Simplify right side
    254,253.50x = 119,235,197,720.25
  5. Step 5: Solve for x
    x = 119,235,197,720.25/254,253.50
  6. Step 6: Final answer
    x = 468,961.87

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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.