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Finding the Third Proportional to 148,106 and 315,920

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Solution

The third proportional to 148,106 and 315,920 is: 673,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,106 : 315,920 = 315,920 : x
  2. Step 2: Convert to fraction form
    148,106/315,920 = 315,920/x
  3. Step 3: Cross multiply
    148,106x = 315,920 × 315,920
  4. Step 4: Simplify right side
    148,106x = 99,805,446,400
  5. Step 5: Solve for x
    x = 99,805,446,400/148,106
  6. Step 6: Final answer
    x = 673,878.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.