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Finding the Third Proportional to 150,937.17 and 314,124.96

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Solution

The third proportional to 150,937.17 and 314,124.96 is: 653,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,937.17 : 314,124.96 = 314,124.96 : x
  2. Step 2: Convert to fraction form
    150,937.17/314,124.96 = 314,124.96/x
  3. Step 3: Cross multiply
    150,937.17x = 314,124.96 × 314,124.96
  4. Step 4: Simplify right side
    150,937.17x = 98,674,491,083.99
  5. Step 5: Solve for x
    x = 98,674,491,083.99/150,937.17
  6. Step 6: Final answer
    x = 653,745.46

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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.