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Finding the Third Proportional to 142,023.38 and 309,469.50

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Solution

The third proportional to 142,023.38 and 309,469.50 is: 674,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,023.38 : 309,469.50 = 309,469.50 : x
  2. Step 2: Convert to fraction form
    142,023.38/309,469.50 = 309,469.50/x
  3. Step 3: Cross multiply
    142,023.38x = 309,469.50 × 309,469.50
  4. Step 4: Simplify right side
    142,023.38x = 95,771,371,430.25
  5. Step 5: Solve for x
    x = 95,771,371,430.25/142,023.38
  6. Step 6: Final answer
    x = 674,335.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.