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Finding the Third Proportional to 242,839.13 and 529,896.38

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Solution

The third proportional to 242,839.13 and 529,896.38 is: 1,156,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,839.13 : 529,896.38 = 529,896.38 : x
  2. Step 2: Convert to fraction form
    242,839.13/529,896.38 = 529,896.38/x
  3. Step 3: Cross multiply
    242,839.13x = 529,896.38 × 529,896.38
  4. Step 4: Simplify right side
    242,839.13x = 280,790,168,238.14
  5. Step 5: Solve for x
    x = 280,790,168,238.14/242,839.13
  6. Step 6: Final answer
    x = 1,156,280.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.