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Finding the Third Proportional to 142,588 and 309,810

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Solution

The third proportional to 142,588 and 309,810 is: 673,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,588 : 309,810 = 309,810 : x
  2. Step 2: Convert to fraction form
    142,588/309,810 = 309,810/x
  3. Step 3: Cross multiply
    142,588x = 309,810 × 309,810
  4. Step 4: Simplify right side
    142,588x = 95,982,236,100
  5. Step 5: Solve for x
    x = 95,982,236,100/142,588
  6. Step 6: Final answer
    x = 673,143.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.