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Finding the Third Proportional to 158,617 and 343,370

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Solution

The third proportional to 158,617 and 343,370 is: 743,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,617 : 343,370 = 343,370 : x
  2. Step 2: Convert to fraction form
    158,617/343,370 = 343,370/x
  3. Step 3: Cross multiply
    158,617x = 343,370 × 343,370
  4. Step 4: Simplify right side
    158,617x = 117,902,956,900
  5. Step 5: Solve for x
    x = 117,902,956,900/158,617
  6. Step 6: Final answer
    x = 743,318.54

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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.