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Finding the Third Proportional to 142,823.25 and 313,667.44

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Solution

The third proportional to 142,823.25 and 313,667.44 is: 688,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,823.25 : 313,667.44 = 313,667.44 : x
  2. Step 2: Convert to fraction form
    142,823.25/313,667.44 = 313,667.44/x
  3. Step 3: Cross multiply
    142,823.25x = 313,667.44 × 313,667.44
  4. Step 4: Simplify right side
    142,823.25x = 98,387,261,347.82
  5. Step 5: Solve for x
    x = 98,387,261,347.82/142,823.25
  6. Step 6: Final answer
    x = 688,874.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.