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Finding the Third Proportional to 169,969.50 and 238,227.75

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Solution

The third proportional to 169,969.50 and 238,227.75 is: 333,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,969.50 : 238,227.75 = 238,227.75 : x
  2. Step 2: Convert to fraction form
    169,969.50/238,227.75 = 238,227.75/x
  3. Step 3: Cross multiply
    169,969.50x = 238,227.75 × 238,227.75
  4. Step 4: Simplify right side
    169,969.50x = 56,752,460,870.06
  5. Step 5: Solve for x
    x = 56,752,460,870.06/169,969.50
  6. Step 6: Final answer
    x = 333,897.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.