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Finding the Third Proportional to 109,570.50 and 237,717

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Solution

The third proportional to 109,570.50 and 237,717 is: 515,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,570.50 : 237,717 = 237,717 : x
  2. Step 2: Convert to fraction form
    109,570.50/237,717 = 237,717/x
  3. Step 3: Cross multiply
    109,570.50x = 237,717 × 237,717
  4. Step 4: Simplify right side
    109,570.50x = 56,509,372,089
  5. Step 5: Solve for x
    x = 56,509,372,089/109,570.50
  6. Step 6: Final answer
    x = 515,735.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.