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Finding the Third Proportional to 159,201 and 343,269

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Solution

The third proportional to 159,201 and 343,269 is: 740,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,201 : 343,269 = 343,269 : x
  2. Step 2: Convert to fraction form
    159,201/343,269 = 343,269/x
  3. Step 3: Cross multiply
    159,201x = 343,269 × 343,269
  4. Step 4: Simplify right side
    159,201x = 117,833,606,361
  5. Step 5: Solve for x
    x = 117,833,606,361/159,201
  6. Step 6: Final answer
    x = 740,156.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.