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Finding the Third Proportional to 158,616 and 343,368

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Solution

The third proportional to 158,616 and 343,368 is: 743,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,616 : 343,368 = 343,368 : x
  2. Step 2: Convert to fraction form
    158,616/343,368 = 343,368/x
  3. Step 3: Cross multiply
    158,616x = 343,368 × 343,368
  4. Step 4: Simplify right side
    158,616x = 117,901,583,424
  5. Step 5: Solve for x
    x = 117,901,583,424/158,616
  6. Step 6: Final answer
    x = 743,314.57

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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.