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Finding the Third Proportional to 233,401.50 and 371,567.25

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Solution

The third proportional to 233,401.50 and 371,567.25 is: 591,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,401.50 : 371,567.25 = 371,567.25 : x
  2. Step 2: Convert to fraction form
    233,401.50/371,567.25 = 371,567.25/x
  3. Step 3: Cross multiply
    233,401.50x = 371,567.25 × 371,567.25
  4. Step 4: Simplify right side
    233,401.50x = 138,062,221,272.56
  5. Step 5: Solve for x
    x = 138,062,221,272.56/233,401.50
  6. Step 6: Final answer
    x = 591,522.42

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