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Finding the Third Proportional to 187,076.25 and 285,284.25

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Solution

The third proportional to 187,076.25 and 285,284.25 is: 435,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,076.25 : 285,284.25 = 285,284.25 : x
  2. Step 2: Convert to fraction form
    187,076.25/285,284.25 = 285,284.25/x
  3. Step 3: Cross multiply
    187,076.25x = 285,284.25 × 285,284.25
  4. Step 4: Simplify right side
    187,076.25x = 81,387,103,298.06
  5. Step 5: Solve for x
    x = 81,387,103,298.06/187,076.25
  6. Step 6: Final answer
    x = 435,047.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.