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Finding the Third Proportional to 105,363 and 230,832

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Solution

The third proportional to 105,363 and 230,832 is: 505,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,363 : 230,832 = 230,832 : x
  2. Step 2: Convert to fraction form
    105,363/230,832 = 230,832/x
  3. Step 3: Cross multiply
    105,363x = 230,832 × 230,832
  4. Step 4: Simplify right side
    105,363x = 53,283,412,224
  5. Step 5: Solve for x
    x = 53,283,412,224/105,363
  6. Step 6: Final answer
    x = 505,712.75

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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.