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Finding the Third Proportional to 169,833 and 359,895

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Solution

The third proportional to 169,833 and 359,895 is: 762,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,833 : 359,895 = 359,895 : x
  2. Step 2: Convert to fraction form
    169,833/359,895 = 359,895/x
  3. Step 3: Cross multiply
    169,833x = 359,895 × 359,895
  4. Step 4: Simplify right side
    169,833x = 129,524,411,025
  5. Step 5: Solve for x
    x = 129,524,411,025/169,833
  6. Step 6: Final answer
    x = 762,657.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.