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Finding the Third Proportional to 115,941 and 244,335

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Solution

The third proportional to 115,941 and 244,335 is: 514,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,941 : 244,335 = 244,335 : x
  2. Step 2: Convert to fraction form
    115,941/244,335 = 244,335/x
  3. Step 3: Cross multiply
    115,941x = 244,335 × 244,335
  4. Step 4: Simplify right side
    115,941x = 59,699,592,225
  5. Step 5: Solve for x
    x = 59,699,592,225/115,941
  6. Step 6: Final answer
    x = 514,913.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.