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Finding the Third Proportional to 142,592.06 and 309,816.56

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Solution

The third proportional to 142,592.06 and 309,816.56 is: 673,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,592.06 : 309,816.56 = 309,816.56 : x
  2. Step 2: Convert to fraction form
    142,592.06/309,816.56 = 309,816.56/x
  3. Step 3: Cross multiply
    142,592.06x = 309,816.56 × 309,816.56
  4. Step 4: Simplify right side
    142,592.06x = 95,986,302,399.32
  5. Step 5: Solve for x
    x = 95,986,302,399.32/142,592.06
  6. Step 6: Final answer
    x = 673,153.19

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