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Finding the Third Proportional to 157,987.13 and 338,208.75

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Solution

The third proportional to 157,987.13 and 338,208.75 is: 724,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,987.13 : 338,208.75 = 338,208.75 : x
  2. Step 2: Convert to fraction form
    157,987.13/338,208.75 = 338,208.75/x
  3. Step 3: Cross multiply
    157,987.13x = 338,208.75 × 338,208.75
  4. Step 4: Simplify right side
    157,987.13x = 114,385,158,576.56
  5. Step 5: Solve for x
    x = 114,385,158,576.56/157,987.13
  6. Step 6: Final answer
    x = 724,015.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.