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Finding the Third Proportional to 147,747 and 312,849

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Solution

The third proportional to 147,747 and 312,849 is: 662,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,747 : 312,849 = 312,849 : x
  2. Step 2: Convert to fraction form
    147,747/312,849 = 312,849/x
  3. Step 3: Cross multiply
    147,747x = 312,849 × 312,849
  4. Step 4: Simplify right side
    147,747x = 97,874,496,801
  5. Step 5: Solve for x
    x = 97,874,496,801/147,747
  6. Step 6: Final answer
    x = 662,446.59

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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.