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Finding the Third Proportional to 183,537 and 241,879.50

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Solution

The third proportional to 183,537 and 241,879.50 is: 318,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,537 : 241,879.50 = 241,879.50 : x
  2. Step 2: Convert to fraction form
    183,537/241,879.50 = 241,879.50/x
  3. Step 3: Cross multiply
    183,537x = 241,879.50 × 241,879.50
  4. Step 4: Simplify right side
    183,537x = 58,505,692,520.25
  5. Step 5: Solve for x
    x = 58,505,692,520.25/183,537
  6. Step 6: Final answer
    x = 318,767.84

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.