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Finding the Third Proportional to 159,082.50 and 343,072.50

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Solution

The third proportional to 159,082.50 and 343,072.50 is: 739,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.50 : 343,072.50 = 343,072.50 : x
  2. Step 2: Convert to fraction form
    159,082.50/343,072.50 = 343,072.50/x
  3. Step 3: Cross multiply
    159,082.50x = 343,072.50 × 343,072.50
  4. Step 4: Simplify right side
    159,082.50x = 117,698,740,256.25
  5. Step 5: Solve for x
    x = 117,698,740,256.25/159,082.50
  6. Step 6: Final answer
    x = 739,859.76

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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.