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Finding the Third Proportional to 100,228 and 233,066

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Solution

The third proportional to 100,228 and 233,066 is: 541,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228 : 233,066 = 233,066 : x
  2. Step 2: Convert to fraction form
    100,228/233,066 = 233,066/x
  3. Step 3: Cross multiply
    100,228x = 233,066 × 233,066
  4. Step 4: Simplify right side
    100,228x = 54,319,760,356
  5. Step 5: Solve for x
    x = 54,319,760,356/100,228
  6. Step 6: Final answer
    x = 541,961.93

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.