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Finding the Third Proportional to 169,905.75 and 269,925.75

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Solution

The third proportional to 169,905.75 and 269,925.75 is: 428,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,905.75 : 269,925.75 = 269,925.75 : x
  2. Step 2: Convert to fraction form
    169,905.75/269,925.75 = 269,925.75/x
  3. Step 3: Cross multiply
    169,905.75x = 269,925.75 × 269,925.75
  4. Step 4: Simplify right side
    169,905.75x = 72,859,910,513.06
  5. Step 5: Solve for x
    x = 72,859,910,513.06/169,905.75
  6. Step 6: Final answer
    x = 428,825.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.