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Finding the Third Proportional to 233,647.50 and 350,082.50

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Solution

The third proportional to 233,647.50 and 350,082.50 is: 524,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647.50 : 350,082.50 = 350,082.50 : x
  2. Step 2: Convert to fraction form
    233,647.50/350,082.50 = 350,082.50/x
  3. Step 3: Cross multiply
    233,647.50x = 350,082.50 × 350,082.50
  4. Step 4: Simplify right side
    233,647.50x = 122,557,756,806.25
  5. Step 5: Solve for x
    x = 122,557,756,806.25/233,647.50
  6. Step 6: Final answer
    x = 524,541.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.