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Finding the Third Proportional to 168,643 and 359,133

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Solution

The third proportional to 168,643 and 359,133 is: 764,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,643 : 359,133 = 359,133 : x
  2. Step 2: Convert to fraction form
    168,643/359,133 = 359,133/x
  3. Step 3: Cross multiply
    168,643x = 359,133 × 359,133
  4. Step 4: Simplify right side
    168,643x = 128,976,511,689
  5. Step 5: Solve for x
    x = 128,976,511,689/168,643
  6. Step 6: Final answer
    x = 764,790.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.