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Finding the Third Proportional to 150,593.63 and 313,672.50

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Solution

The third proportional to 150,593.63 and 313,672.50 is: 653,350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,593.63 : 313,672.50 = 313,672.50 : x
  2. Step 2: Convert to fraction form
    150,593.63/313,672.50 = 313,672.50/x
  3. Step 3: Cross multiply
    150,593.63x = 313,672.50 × 313,672.50
  4. Step 4: Simplify right side
    150,593.63x = 98,390,437,256.25
  5. Step 5: Solve for x
    x = 98,390,437,256.25/150,593.63
  6. Step 6: Final answer
    x = 653,350.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.