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Finding the Third Proportional to 158,770.50 and 343,135.50

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Solution

The third proportional to 158,770.50 and 343,135.50 is: 741,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,770.50 : 343,135.50 = 343,135.50 : x
  2. Step 2: Convert to fraction form
    158,770.50/343,135.50 = 343,135.50/x
  3. Step 3: Cross multiply
    158,770.50x = 343,135.50 × 343,135.50
  4. Step 4: Simplify right side
    158,770.50x = 117,741,971,360.25
  5. Step 5: Solve for x
    x = 117,741,971,360.25/158,770.50
  6. Step 6: Final answer
    x = 741,585.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.