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Finding the Third Proportional to 233,232.75 and 371,301.75

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Solution

The third proportional to 233,232.75 and 371,301.75 is: 591,104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,232.75 : 371,301.75 = 371,301.75 : x
  2. Step 2: Convert to fraction form
    233,232.75/371,301.75 = 371,301.75/x
  3. Step 3: Cross multiply
    233,232.75x = 371,301.75 × 371,301.75
  4. Step 4: Simplify right side
    233,232.75x = 137,864,989,553.06
  5. Step 5: Solve for x
    x = 137,864,989,553.06/233,232.75
  6. Step 6: Final answer
    x = 591,104.76

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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.