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Finding the Third Proportional to 110,885 and 243,232

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Solution

The third proportional to 110,885 and 243,232 is: 533,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,885 : 243,232 = 243,232 : x
  2. Step 2: Convert to fraction form
    110,885/243,232 = 243,232/x
  3. Step 3: Cross multiply
    110,885x = 243,232 × 243,232
  4. Step 4: Simplify right side
    110,885x = 59,161,805,824
  5. Step 5: Solve for x
    x = 59,161,805,824/110,885
  6. Step 6: Final answer
    x = 533,542.01

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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.