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Finding the Third Proportional to 115,272 and 244,224

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Solution

The third proportional to 115,272 and 244,224 is: 517,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,272 : 244,224 = 244,224 : x
  2. Step 2: Convert to fraction form
    115,272/244,224 = 244,224/x
  3. Step 3: Cross multiply
    115,272x = 244,224 × 244,224
  4. Step 4: Simplify right side
    115,272x = 59,645,362,176
  5. Step 5: Solve for x
    x = 59,645,362,176/115,272
  6. Step 6: Final answer
    x = 517,431.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.