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Finding the Third Proportional to 142,027.50 and 309,476.50

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Solution

The third proportional to 142,027.50 and 309,476.50 is: 674,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,027.50 : 309,476.50 = 309,476.50 : x
  2. Step 2: Convert to fraction form
    142,027.50/309,476.50 = 309,476.50/x
  3. Step 3: Cross multiply
    142,027.50x = 309,476.50 × 309,476.50
  4. Step 4: Simplify right side
    142,027.50x = 95,775,704,052.25
  5. Step 5: Solve for x
    x = 95,775,704,052.25/142,027.50
  6. Step 6: Final answer
    x = 674,346.19

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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.