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Finding the Third Proportional to 148,566 and 317,868

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Solution

The third proportional to 148,566 and 317,868 is: 680,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,566 : 317,868 = 317,868 : x
  2. Step 2: Convert to fraction form
    148,566/317,868 = 317,868/x
  3. Step 3: Cross multiply
    148,566x = 317,868 × 317,868
  4. Step 4: Simplify right side
    148,566x = 101,040,065,424
  5. Step 5: Solve for x
    x = 101,040,065,424/148,566
  6. Step 6: Final answer
    x = 680,102.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.