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Finding the Third Proportional to 254,439 and 345,552.75

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Solution

The third proportional to 254,439 and 345,552.75 is: 469,294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,439 : 345,552.75 = 345,552.75 : x
  2. Step 2: Convert to fraction form
    254,439/345,552.75 = 345,552.75/x
  3. Step 3: Cross multiply
    254,439x = 345,552.75 × 345,552.75
  4. Step 4: Simplify right side
    254,439x = 119,406,703,032.56
  5. Step 5: Solve for x
    x = 119,406,703,032.56/254,439
  6. Step 6: Final answer
    x = 469,294.03

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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.