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Finding the Third Proportional to 233,991 and 359,436

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Solution

The third proportional to 233,991 and 359,436 is: 552,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,991 : 359,436 = 359,436 : x
  2. Step 2: Convert to fraction form
    233,991/359,436 = 359,436/x
  3. Step 3: Cross multiply
    233,991x = 359,436 × 359,436
  4. Step 4: Simplify right side
    233,991x = 129,194,238,096
  5. Step 5: Solve for x
    x = 129,194,238,096/233,991
  6. Step 6: Final answer
    x = 552,133.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.