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Finding the Third Proportional to 233,239.50 and 371,310.75

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Solution

The third proportional to 233,239.50 and 371,310.75 is: 591,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,239.50 : 371,310.75 = 371,310.75 : x
  2. Step 2: Convert to fraction form
    233,239.50/371,310.75 = 371,310.75/x
  3. Step 3: Cross multiply
    233,239.50x = 371,310.75 × 371,310.75
  4. Step 4: Simplify right side
    233,239.50x = 137,871,673,065.56
  5. Step 5: Solve for x
    x = 137,871,673,065.56/233,239.50
  6. Step 6: Final answer
    x = 591,116.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.