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Finding the Third Proportional to 123,028.50 and 200,892

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Solution

The third proportional to 123,028.50 and 200,892 is: 328,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,028.50 : 200,892 = 200,892 : x
  2. Step 2: Convert to fraction form
    123,028.50/200,892 = 200,892/x
  3. Step 3: Cross multiply
    123,028.50x = 200,892 × 200,892
  4. Step 4: Simplify right side
    123,028.50x = 40,357,595,664
  5. Step 5: Solve for x
    x = 40,357,595,664/123,028.50
  6. Step 6: Final answer
    x = 328,034.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.