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Finding the Third Proportional to 187,272 and 304,242

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Solution

The third proportional to 187,272 and 304,242 is: 494,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,272 : 304,242 = 304,242 : x
  2. Step 2: Convert to fraction form
    187,272/304,242 = 304,242/x
  3. Step 3: Cross multiply
    187,272x = 304,242 × 304,242
  4. Step 4: Simplify right side
    187,272x = 92,563,194,564
  5. Step 5: Solve for x
    x = 92,563,194,564/187,272
  6. Step 6: Final answer
    x = 494,271.41

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.