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Finding the Third Proportional to 169,344 and 362,040

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Solution

The third proportional to 169,344 and 362,040 is: 774,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,344 : 362,040 = 362,040 : x
  2. Step 2: Convert to fraction form
    169,344/362,040 = 362,040/x
  3. Step 3: Cross multiply
    169,344x = 362,040 × 362,040
  4. Step 4: Simplify right side
    169,344x = 131,072,961,600
  5. Step 5: Solve for x
    x = 131,072,961,600/169,344
  6. Step 6: Final answer
    x = 774,004.17

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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.