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Finding the Third Proportional to 163,701 and 352,593

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Solution

The third proportional to 163,701 and 352,593 is: 759,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,701 : 352,593 = 352,593 : x
  2. Step 2: Convert to fraction form
    163,701/352,593 = 352,593/x
  3. Step 3: Cross multiply
    163,701x = 352,593 × 352,593
  4. Step 4: Simplify right side
    163,701x = 124,321,823,649
  5. Step 5: Solve for x
    x = 124,321,823,649/163,701
  6. Step 6: Final answer
    x = 759,444.50

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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.