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Finding the Third Proportional to 192,000 and 287,232

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Solution

The third proportional to 192,000 and 287,232 is: 429,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,000 : 287,232 = 287,232 : x
  2. Step 2: Convert to fraction form
    192,000/287,232 = 287,232/x
  3. Step 3: Cross multiply
    192,000x = 287,232 × 287,232
  4. Step 4: Simplify right side
    192,000x = 82,502,221,824
  5. Step 5: Solve for x
    x = 82,502,221,824/192,000
  6. Step 6: Final answer
    x = 429,699.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.