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Finding the Third Proportional to 142,574.25 and 302,562.75

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Solution

The third proportional to 142,574.25 and 302,562.75 is: 642,081.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574.25 : 302,562.75 = 302,562.75 : x
  2. Step 2: Convert to fraction form
    142,574.25/302,562.75 = 302,562.75/x
  3. Step 3: Cross multiply
    142,574.25x = 302,562.75 × 302,562.75
  4. Step 4: Simplify right side
    142,574.25x = 91,544,217,687.56
  5. Step 5: Solve for x
    x = 91,544,217,687.56/142,574.25
  6. Step 6: Final answer
    x = 642,081.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.