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Finding the Third Proportional to 158,671 and 343,466

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Solution

The third proportional to 158,671 and 343,466 is: 743,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,671 : 343,466 = 343,466 : x
  2. Step 2: Convert to fraction form
    158,671/343,466 = 343,466/x
  3. Step 3: Cross multiply
    158,671x = 343,466 × 343,466
  4. Step 4: Simplify right side
    158,671x = 117,968,893,156
  5. Step 5: Solve for x
    x = 117,968,893,156/158,671
  6. Step 6: Final answer
    x = 743,481.12

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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.