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Finding the Third Proportional to 169,090.50 and 261,078

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Solution

The third proportional to 169,090.50 and 261,078 is: 403,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,090.50 : 261,078 = 261,078 : x
  2. Step 2: Convert to fraction form
    169,090.50/261,078 = 261,078/x
  3. Step 3: Cross multiply
    169,090.50x = 261,078 × 261,078
  4. Step 4: Simplify right side
    169,090.50x = 68,161,722,084
  5. Step 5: Solve for x
    x = 68,161,722,084/169,090.50
  6. Step 6: Final answer
    x = 403,107.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.