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Finding the Third Proportional to 134,544 and 285,486

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Solution

The third proportional to 134,544 and 285,486 is: 605,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,544 : 285,486 = 285,486 : x
  2. Step 2: Convert to fraction form
    134,544/285,486 = 285,486/x
  3. Step 3: Cross multiply
    134,544x = 285,486 × 285,486
  4. Step 4: Simplify right side
    134,544x = 81,502,256,196
  5. Step 5: Solve for x
    x = 81,502,256,196/134,544
  6. Step 6: Final answer
    x = 605,766.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.