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Finding the Third Proportional to 192,458 and 302,331

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Solution

The third proportional to 192,458 and 302,331 is: 474,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,458 : 302,331 = 302,331 : x
  2. Step 2: Convert to fraction form
    192,458/302,331 = 302,331/x
  3. Step 3: Cross multiply
    192,458x = 302,331 × 302,331
  4. Step 4: Simplify right side
    192,458x = 91,404,033,561
  5. Step 5: Solve for x
    x = 91,404,033,561/192,458
  6. Step 6: Final answer
    x = 474,929.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.