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Finding the Third Proportional to 134,272 and 285,536

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Solution

The third proportional to 134,272 and 285,536 is: 607,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,272 : 285,536 = 285,536 : x
  2. Step 2: Convert to fraction form
    134,272/285,536 = 285,536/x
  3. Step 3: Cross multiply
    134,272x = 285,536 × 285,536
  4. Step 4: Simplify right side
    134,272x = 81,530,807,296
  5. Step 5: Solve for x
    x = 81,530,807,296/134,272
  6. Step 6: Final answer
    x = 607,206.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.