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Finding the Third Proportional to 158,026.88 and 338,196.75

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Solution

The third proportional to 158,026.88 and 338,196.75 is: 723,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,026.88 : 338,196.75 = 338,196.75 : x
  2. Step 2: Convert to fraction form
    158,026.88/338,196.75 = 338,196.75/x
  3. Step 3: Cross multiply
    158,026.88x = 338,196.75 × 338,196.75
  4. Step 4: Simplify right side
    158,026.88x = 114,377,041,710.56
  5. Step 5: Solve for x
    x = 114,377,041,710.56/158,026.88
  6. Step 6: Final answer
    x = 723,782.22

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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.