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Finding the Third Proportional to 100,232 and 233,076

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Solution

The third proportional to 100,232 and 233,076 is: 541,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232 : 233,076 = 233,076 : x
  2. Step 2: Convert to fraction form
    100,232/233,076 = 233,076/x
  3. Step 3: Cross multiply
    100,232x = 233,076 × 233,076
  4. Step 4: Simplify right side
    100,232x = 54,324,421,776
  5. Step 5: Solve for x
    x = 54,324,421,776/100,232
  6. Step 6: Final answer
    x = 541,986.81

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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.