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Finding the Third Proportional to 143,081.44 and 310,766.06

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Solution

The third proportional to 143,081.44 and 310,766.06 is: 674,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,081.44 : 310,766.06 = 310,766.06 : x
  2. Step 2: Convert to fraction form
    143,081.44/310,766.06 = 310,766.06/x
  3. Step 3: Cross multiply
    143,081.44x = 310,766.06 × 310,766.06
  4. Step 4: Simplify right side
    143,081.44x = 96,575,545,601.75
  5. Step 5: Solve for x
    x = 96,575,545,601.75/143,081.44
  6. Step 6: Final answer
    x = 674,969.08

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Why These Related Problems?

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