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Finding the Third Proportional to 110,883 and 243,228

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Solution

The third proportional to 110,883 and 243,228 is: 533,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,883 : 243,228 = 243,228 : x
  2. Step 2: Convert to fraction form
    110,883/243,228 = 243,228/x
  3. Step 3: Cross multiply
    110,883x = 243,228 × 243,228
  4. Step 4: Simplify right side
    110,883x = 59,159,859,984
  5. Step 5: Solve for x
    x = 59,159,859,984/110,883
  6. Step 6: Final answer
    x = 533,534.09

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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.