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Finding the Third Proportional to 163,708 and 352,606

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Solution

The third proportional to 163,708 and 352,606 is: 759,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,708 : 352,606 = 352,606 : x
  2. Step 2: Convert to fraction form
    163,708/352,606 = 352,606/x
  3. Step 3: Cross multiply
    163,708x = 352,606 × 352,606
  4. Step 4: Simplify right side
    163,708x = 124,330,991,236
  5. Step 5: Solve for x
    x = 124,330,991,236/163,708
  6. Step 6: Final answer
    x = 759,468.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.