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Finding the Third Proportional to 147,837 and 317,814

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Solution

The third proportional to 147,837 and 317,814 is: 683,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,837 : 317,814 = 317,814 : x
  2. Step 2: Convert to fraction form
    147,837/317,814 = 317,814/x
  3. Step 3: Cross multiply
    147,837x = 317,814 × 317,814
  4. Step 4: Simplify right side
    147,837x = 101,005,738,596
  5. Step 5: Solve for x
    x = 101,005,738,596/147,837
  6. Step 6: Final answer
    x = 683,223.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.