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Finding the Third Proportional to 158,047.50 and 342,339

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Solution

The third proportional to 158,047.50 and 342,339 is: 741,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,047.50 : 342,339 = 342,339 : x
  2. Step 2: Convert to fraction form
    158,047.50/342,339 = 342,339/x
  3. Step 3: Cross multiply
    158,047.50x = 342,339 × 342,339
  4. Step 4: Simplify right side
    158,047.50x = 117,195,990,921
  5. Step 5: Solve for x
    x = 117,195,990,921/158,047.50
  6. Step 6: Final answer
    x = 741,523.85

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Why These Related Problems?

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