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Finding the Third Proportional to 143,722.13 and 302,340.75

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Solution

The third proportional to 143,722.13 and 302,340.75 is: 636,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,722.13 : 302,340.75 = 302,340.75 : x
  2. Step 2: Convert to fraction form
    143,722.13/302,340.75 = 302,340.75/x
  3. Step 3: Cross multiply
    143,722.13x = 302,340.75 × 302,340.75
  4. Step 4: Simplify right side
    143,722.13x = 91,409,929,110.56
  5. Step 5: Solve for x
    x = 91,409,929,110.56/143,722.13
  6. Step 6: Final answer
    x = 636,018.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.