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Finding the Third Proportional to 74,980 and 158,388.50

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Solution

The third proportional to 74,980 and 158,388.50 is: 334,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,980 : 158,388.50 = 158,388.50 : x
  2. Step 2: Convert to fraction form
    74,980/158,388.50 = 158,388.50/x
  3. Step 3: Cross multiply
    74,980x = 158,388.50 × 158,388.50
  4. Step 4: Simplify right side
    74,980x = 25,086,916,932.25
  5. Step 5: Solve for x
    x = 25,086,916,932.25/74,980
  6. Step 6: Final answer
    x = 334,581.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.