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Finding the Third Proportional to 163,002 and 340,908

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Solution

The third proportional to 163,002 and 340,908 is: 712,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,002 : 340,908 = 340,908 : x
  2. Step 2: Convert to fraction form
    163,002/340,908 = 340,908/x
  3. Step 3: Cross multiply
    163,002x = 340,908 × 340,908
  4. Step 4: Simplify right side
    163,002x = 116,218,264,464
  5. Step 5: Solve for x
    x = 116,218,264,464/163,002
  6. Step 6: Final answer
    x = 712,986.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.