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Finding the Third Proportional to 158,438 and 352,302

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Solution

The third proportional to 158,438 and 352,302 is: 783,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,438 : 352,302 = 352,302 : x
  2. Step 2: Convert to fraction form
    158,438/352,302 = 352,302/x
  3. Step 3: Cross multiply
    158,438x = 352,302 × 352,302
  4. Step 4: Simplify right side
    158,438x = 124,116,699,204
  5. Step 5: Solve for x
    x = 124,116,699,204/158,438
  6. Step 6: Final answer
    x = 783,377.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.