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Finding the Third Proportional to 169,348 and 362,048

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Solution

The third proportional to 169,348 and 362,048 is: 774,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,348 : 362,048 = 362,048 : x
  2. Step 2: Convert to fraction form
    169,348/362,048 = 362,048/x
  3. Step 3: Cross multiply
    169,348x = 362,048 × 362,048
  4. Step 4: Simplify right side
    169,348x = 131,078,754,304
  5. Step 5: Solve for x
    x = 131,078,754,304/169,348
  6. Step 6: Final answer
    x = 774,020.09

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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.