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Finding the Third Proportional to 169,419.25 and 248,470.50

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Solution

The third proportional to 169,419.25 and 248,470.50 is: 364,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,419.25 : 248,470.50 = 248,470.50 : x
  2. Step 2: Convert to fraction form
    169,419.25/248,470.50 = 248,470.50/x
  3. Step 3: Cross multiply
    169,419.25x = 248,470.50 × 248,470.50
  4. Step 4: Simplify right side
    169,419.25x = 61,737,589,370.25
  5. Step 5: Solve for x
    x = 61,737,589,370.25/169,419.25
  6. Step 6: Final answer
    x = 364,407.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.