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Finding the Third Proportional to 116,617.50 and 241,533

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Solution

The third proportional to 116,617.50 and 241,533 is: 500,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,617.50 : 241,533 = 241,533 : x
  2. Step 2: Convert to fraction form
    116,617.50/241,533 = 241,533/x
  3. Step 3: Cross multiply
    116,617.50x = 241,533 × 241,533
  4. Step 4: Simplify right side
    116,617.50x = 58,338,190,089
  5. Step 5: Solve for x
    x = 58,338,190,089/116,617.50
  6. Step 6: Final answer
    x = 500,252.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.