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Finding the Third Proportional to 163,731 and 352,650

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Solution

The third proportional to 163,731 and 352,650 is: 759,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,731 : 352,650 = 352,650 : x
  2. Step 2: Convert to fraction form
    163,731/352,650 = 352,650/x
  3. Step 3: Cross multiply
    163,731x = 352,650 × 352,650
  4. Step 4: Simplify right side
    163,731x = 124,362,022,500
  5. Step 5: Solve for x
    x = 124,362,022,500/163,731
  6. Step 6: Final answer
    x = 759,550.86

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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.