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Finding the Third Proportional to 158,049 and 342,342

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Solution

The third proportional to 158,049 and 342,342 is: 741,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,049 : 342,342 = 342,342 : x
  2. Step 2: Convert to fraction form
    158,049/342,342 = 342,342/x
  3. Step 3: Cross multiply
    158,049x = 342,342 × 342,342
  4. Step 4: Simplify right side
    158,049x = 117,198,044,964
  5. Step 5: Solve for x
    x = 117,198,044,964/158,049
  6. Step 6: Final answer
    x = 741,529.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.