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Finding the Third Proportional to 237,100.50 and 363,544.50

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Solution

The third proportional to 237,100.50 and 363,544.50 is: 557,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,100.50 : 363,544.50 = 363,544.50 : x
  2. Step 2: Convert to fraction form
    237,100.50/363,544.50 = 363,544.50/x
  3. Step 3: Cross multiply
    237,100.50x = 363,544.50 × 363,544.50
  4. Step 4: Simplify right side
    237,100.50x = 132,164,603,480.25
  5. Step 5: Solve for x
    x = 132,164,603,480.25/237,100.50
  6. Step 6: Final answer
    x = 557,420.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.