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Finding the Third Proportional to 233,236.50 and 371,306.25

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Solution

The third proportional to 233,236.50 and 371,306.25 is: 591,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,236.50 : 371,306.25 = 371,306.25 : x
  2. Step 2: Convert to fraction form
    233,236.50/371,306.25 = 371,306.25/x
  3. Step 3: Cross multiply
    233,236.50x = 371,306.25 × 371,306.25
  4. Step 4: Simplify right side
    233,236.50x = 137,868,331,289.06
  5. Step 5: Solve for x
    x = 137,868,331,289.06/233,236.50
  6. Step 6: Final answer
    x = 591,109.59

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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.