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Finding the Third Proportional to 192,468 and 302,346

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Solution

The third proportional to 192,468 and 302,346 is: 474,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468 : 302,346 = 302,346 : x
  2. Step 2: Convert to fraction form
    192,468/302,346 = 302,346/x
  3. Step 3: Cross multiply
    192,468x = 302,346 × 302,346
  4. Step 4: Simplify right side
    192,468x = 91,413,103,716
  5. Step 5: Solve for x
    x = 91,413,103,716/192,468
  6. Step 6: Final answer
    x = 474,952.22

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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.