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Finding the Third Proportional to 100,224 and 233,046

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Solution

The third proportional to 100,224 and 233,046 is: 541,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,224 : 233,046 = 233,046 : x
  2. Step 2: Convert to fraction form
    100,224/233,046 = 233,046/x
  3. Step 3: Cross multiply
    100,224x = 233,046 × 233,046
  4. Step 4: Simplify right side
    100,224x = 54,310,438,116
  5. Step 5: Solve for x
    x = 54,310,438,116/100,224
  6. Step 6: Final answer
    x = 541,890.55

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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.