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Finding the Third Proportional to 162,669 and 335,382

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Solution

The third proportional to 162,669 and 335,382 is: 691,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,669 : 335,382 = 335,382 : x
  2. Step 2: Convert to fraction form
    162,669/335,382 = 335,382/x
  3. Step 3: Cross multiply
    162,669x = 335,382 × 335,382
  4. Step 4: Simplify right side
    162,669x = 112,481,085,924
  5. Step 5: Solve for x
    x = 112,481,085,924/162,669
  6. Step 6: Final answer
    x = 691,472.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.