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Finding the Third Proportional to 151,434 and 318,552.75

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Solution

The third proportional to 151,434 and 318,552.75 is: 670,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,434 : 318,552.75 = 318,552.75 : x
  2. Step 2: Convert to fraction form
    151,434/318,552.75 = 318,552.75/x
  3. Step 3: Cross multiply
    151,434x = 318,552.75 × 318,552.75
  4. Step 4: Simplify right side
    151,434x = 101,475,854,532.56
  5. Step 5: Solve for x
    x = 101,475,854,532.56/151,434
  6. Step 6: Final answer
    x = 670,099.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.