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Finding the Third Proportional to 159,895 and 343,982

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Solution

The third proportional to 159,895 and 343,982 is: 740,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,895 : 343,982 = 343,982 : x
  2. Step 2: Convert to fraction form
    159,895/343,982 = 343,982/x
  3. Step 3: Cross multiply
    159,895x = 343,982 × 343,982
  4. Step 4: Simplify right side
    159,895x = 118,323,616,324
  5. Step 5: Solve for x
    x = 118,323,616,324/159,895
  6. Step 6: Final answer
    x = 740,008.23

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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.