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Finding the Third Proportional to 158,076 and 338,285.25

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Solution

The third proportional to 158,076 and 338,285.25 is: 723,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,076 : 338,285.25 = 338,285.25 : x
  2. Step 2: Convert to fraction form
    158,076/338,285.25 = 338,285.25/x
  3. Step 3: Cross multiply
    158,076x = 338,285.25 × 338,285.25
  4. Step 4: Simplify right side
    158,076x = 114,436,910,367.56
  5. Step 5: Solve for x
    x = 114,436,910,367.56/158,076
  6. Step 6: Final answer
    x = 723,936.02

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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.