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Finding the Third Proportional to 187,216 and 254,054

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Solution

The third proportional to 187,216 and 254,054 is: 344,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,216 : 254,054 = 254,054 : x
  2. Step 2: Convert to fraction form
    187,216/254,054 = 254,054/x
  3. Step 3: Cross multiply
    187,216x = 254,054 × 254,054
  4. Step 4: Simplify right side
    187,216x = 64,543,434,916
  5. Step 5: Solve for x
    x = 64,543,434,916/187,216
  6. Step 6: Final answer
    x = 344,753.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.