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Finding the Third Proportional to 147,625 and 313,702

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Solution

The third proportional to 147,625 and 313,702 is: 666,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,625 : 313,702 = 313,702 : x
  2. Step 2: Convert to fraction form
    147,625/313,702 = 313,702/x
  3. Step 3: Cross multiply
    147,625x = 313,702 × 313,702
  4. Step 4: Simplify right side
    147,625x = 98,408,944,804
  5. Step 5: Solve for x
    x = 98,408,944,804/147,625
  6. Step 6: Final answer
    x = 666,614.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.