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Finding the Third Proportional to 225,537 and 317,325

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Solution

The third proportional to 225,537 and 317,325 is: 446,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,537 : 317,325 = 317,325 : x
  2. Step 2: Convert to fraction form
    225,537/317,325 = 317,325/x
  3. Step 3: Cross multiply
    225,537x = 317,325 × 317,325
  4. Step 4: Simplify right side
    225,537x = 100,695,155,625
  5. Step 5: Solve for x
    x = 100,695,155,625/225,537
  6. Step 6: Final answer
    x = 446,468.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.