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Finding the Third Proportional to 233,322.75 and 371,436.75

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Solution

The third proportional to 233,322.75 and 371,436.75 is: 591,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,322.75 : 371,436.75 = 371,436.75 : x
  2. Step 2: Convert to fraction form
    233,322.75/371,436.75 = 371,436.75/x
  3. Step 3: Cross multiply
    233,322.75x = 371,436.75 × 371,436.75
  4. Step 4: Simplify right side
    233,322.75x = 137,965,259,250.56
  5. Step 5: Solve for x
    x = 137,965,259,250.56/233,322.75
  6. Step 6: Final answer
    x = 591,306.50

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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.