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Finding the Third Proportional to 169,359.50 and 259,895

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Solution

The third proportional to 169,359.50 and 259,895 is: 398,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,359.50 : 259,895 = 259,895 : x
  2. Step 2: Convert to fraction form
    169,359.50/259,895 = 259,895/x
  3. Step 3: Cross multiply
    169,359.50x = 259,895 × 259,895
  4. Step 4: Simplify right side
    169,359.50x = 67,545,411,025
  5. Step 5: Solve for x
    x = 67,545,411,025/169,359.50
  6. Step 6: Final answer
    x = 398,828.59

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Why These Related Problems?

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