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Finding the Third Proportional to 170,576 and 269,904

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Solution

The third proportional to 170,576 and 269,904 is: 427,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,576 : 269,904 = 269,904 : x
  2. Step 2: Convert to fraction form
    170,576/269,904 = 269,904/x
  3. Step 3: Cross multiply
    170,576x = 269,904 × 269,904
  4. Step 4: Simplify right side
    170,576x = 72,848,169,216
  5. Step 5: Solve for x
    x = 72,848,169,216/170,576
  6. Step 6: Final answer
    x = 427,071.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.