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Finding the Third Proportional to 169,802 and 369,087

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Solution

The third proportional to 169,802 and 369,087 is: 802,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,802 : 369,087 = 369,087 : x
  2. Step 2: Convert to fraction form
    169,802/369,087 = 369,087/x
  3. Step 3: Cross multiply
    169,802x = 369,087 × 369,087
  4. Step 4: Simplify right side
    169,802x = 136,225,213,569
  5. Step 5: Solve for x
    x = 136,225,213,569/169,802
  6. Step 6: Final answer
    x = 802,259.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.