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Finding the Third Proportional to 158,977.50 and 336,359.25

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Solution

The third proportional to 158,977.50 and 336,359.25 is: 711,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,977.50 : 336,359.25 = 336,359.25 : x
  2. Step 2: Convert to fraction form
    158,977.50/336,359.25 = 336,359.25/x
  3. Step 3: Cross multiply
    158,977.50x = 336,359.25 × 336,359.25
  4. Step 4: Simplify right side
    158,977.50x = 113,137,545,060.56
  5. Step 5: Solve for x
    x = 113,137,545,060.56/158,977.50
  6. Step 6: Final answer
    x = 711,657.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.