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Finding the Third Proportional to 101,294 and 234,509

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Solution

The third proportional to 101,294 and 234,509 is: 542,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,294 : 234,509 = 234,509 : x
  2. Step 2: Convert to fraction form
    101,294/234,509 = 234,509/x
  3. Step 3: Cross multiply
    101,294x = 234,509 × 234,509
  4. Step 4: Simplify right side
    101,294x = 54,994,471,081
  5. Step 5: Solve for x
    x = 54,994,471,081/101,294
  6. Step 6: Final answer
    x = 542,919.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.