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Finding the Third Proportional to 313,014.38 and 452,162.25

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Solution

The third proportional to 313,014.38 and 452,162.25 is: 653,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,014.38 : 452,162.25 = 452,162.25 : x
  2. Step 2: Convert to fraction form
    313,014.38/452,162.25 = 452,162.25/x
  3. Step 3: Cross multiply
    313,014.38x = 452,162.25 × 452,162.25
  4. Step 4: Simplify right side
    313,014.38x = 204,450,700,325.06
  5. Step 5: Solve for x
    x = 204,450,700,325.06/313,014.38
  6. Step 6: Final answer
    x = 653,167.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.