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Finding the Third Proportional to 158,042.25 and 342,328.50

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Solution

The third proportional to 158,042.25 and 342,328.50 is: 741,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,042.25 : 342,328.50 = 342,328.50 : x
  2. Step 2: Convert to fraction form
    158,042.25/342,328.50 = 342,328.50/x
  3. Step 3: Cross multiply
    158,042.25x = 342,328.50 × 342,328.50
  4. Step 4: Simplify right side
    158,042.25x = 117,188,801,912.25
  5. Step 5: Solve for x
    x = 117,188,801,912.25/158,042.25
  6. Step 6: Final answer
    x = 741,503.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.