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Finding the Third Proportional to 158,639 and 343,414

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Solution

The third proportional to 158,639 and 343,414 is: 743,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,639 : 343,414 = 343,414 : x
  2. Step 2: Convert to fraction form
    158,639/343,414 = 343,414/x
  3. Step 3: Cross multiply
    158,639x = 343,414 × 343,414
  4. Step 4: Simplify right side
    158,639x = 117,933,175,396
  5. Step 5: Solve for x
    x = 117,933,175,396/158,639
  6. Step 6: Final answer
    x = 743,405.94

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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.