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Finding the Third Proportional to 158,626.50 and 343,387.50

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Solution

The third proportional to 158,626.50 and 343,387.50 is: 743,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,626.50 : 343,387.50 = 343,387.50 : x
  2. Step 2: Convert to fraction form
    158,626.50/343,387.50 = 343,387.50/x
  3. Step 3: Cross multiply
    158,626.50x = 343,387.50 × 343,387.50
  4. Step 4: Simplify right side
    158,626.50x = 117,914,975,156.25
  5. Step 5: Solve for x
    x = 117,914,975,156.25/158,626.50
  6. Step 6: Final answer
    x = 743,349.79

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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.