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Finding the Third Proportional to 235,264.50 and 364,560.75

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Solution

The third proportional to 235,264.50 and 364,560.75 is: 564,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,264.50 : 364,560.75 = 364,560.75 : x
  2. Step 2: Convert to fraction form
    235,264.50/364,560.75 = 364,560.75/x
  3. Step 3: Cross multiply
    235,264.50x = 364,560.75 × 364,560.75
  4. Step 4: Simplify right side
    235,264.50x = 132,904,540,440.56
  5. Step 5: Solve for x
    x = 132,904,540,440.56/235,264.50
  6. Step 6: Final answer
    x = 564,915.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.