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Finding the Third Proportional to 110,849 and 242,434

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Solution

The third proportional to 110,849 and 242,434 is: 530,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,849 : 242,434 = 242,434 : x
  2. Step 2: Convert to fraction form
    110,849/242,434 = 242,434/x
  3. Step 3: Cross multiply
    110,849x = 242,434 × 242,434
  4. Step 4: Simplify right side
    110,849x = 58,774,244,356
  5. Step 5: Solve for x
    x = 58,774,244,356/110,849
  6. Step 6: Final answer
    x = 530,218.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.