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Finding the Third Proportional to 237,763.50 and 352,716

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Solution

The third proportional to 237,763.50 and 352,716 is: 523,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,763.50 : 352,716 = 352,716 : x
  2. Step 2: Convert to fraction form
    237,763.50/352,716 = 352,716/x
  3. Step 3: Cross multiply
    237,763.50x = 352,716 × 352,716
  4. Step 4: Simplify right side
    237,763.50x = 124,408,576,656
  5. Step 5: Solve for x
    x = 124,408,576,656/237,763.50
  6. Step 6: Final answer
    x = 523,245.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.