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Finding the Third Proportional to 169,348 and 362,042

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Solution

The third proportional to 169,348 and 362,042 is: 773,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,348 : 362,042 = 362,042 : x
  2. Step 2: Convert to fraction form
    169,348/362,042 = 362,042/x
  3. Step 3: Cross multiply
    169,348x = 362,042 × 362,042
  4. Step 4: Simplify right side
    169,348x = 131,074,409,764
  5. Step 5: Solve for x
    x = 131,074,409,764/169,348
  6. Step 6: Final answer
    x = 773,994.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.