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Finding the Third Proportional to 140,828 and 300,160

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Solution

The third proportional to 140,828 and 300,160 is: 639,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,828 : 300,160 = 300,160 : x
  2. Step 2: Convert to fraction form
    140,828/300,160 = 300,160/x
  3. Step 3: Cross multiply
    140,828x = 300,160 × 300,160
  4. Step 4: Simplify right side
    140,828x = 90,096,025,600
  5. Step 5: Solve for x
    x = 90,096,025,600/140,828
  6. Step 6: Final answer
    x = 639,759.32

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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.