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Finding the Third Proportional to 169,906 and 369,348

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Solution

The third proportional to 169,906 and 369,348 is: 802,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,906 : 369,348 = 369,348 : x
  2. Step 2: Convert to fraction form
    169,906/369,348 = 369,348/x
  3. Step 3: Cross multiply
    169,906x = 369,348 × 369,348
  4. Step 4: Simplify right side
    169,906x = 136,417,945,104
  5. Step 5: Solve for x
    x = 136,417,945,104/169,906
  6. Step 6: Final answer
    x = 802,902.46

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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.