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Finding the Third Proportional to 370.75 and 915.50

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Solution

The third proportional to 370.75 and 915.50 is: 2,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.75 : 915.50 = 915.50 : x
  2. Step 2: Convert to fraction form
    370.75/915.50 = 915.50/x
  3. Step 3: Cross multiply
    370.75x = 915.50 × 915.50
  4. Step 4: Simplify right side
    370.75x = 838,140.25
  5. Step 5: Solve for x
    x = 838,140.25/370.75
  6. Step 6: Final answer
    x = 2,260.66

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.