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Finding the Third Proportional to 150,599.25 and 313,672.50

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Solution

The third proportional to 150,599.25 and 313,672.50 is: 653,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,599.25 : 313,672.50 = 313,672.50 : x
  2. Step 2: Convert to fraction form
    150,599.25/313,672.50 = 313,672.50/x
  3. Step 3: Cross multiply
    150,599.25x = 313,672.50 × 313,672.50
  4. Step 4: Simplify right side
    150,599.25x = 98,390,437,256.25
  5. Step 5: Solve for x
    x = 98,390,437,256.25/150,599.25
  6. Step 6: Final answer
    x = 653,326.21

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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.