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Finding the Third Proportional to 277,192 and 386,198.25

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Solution

The third proportional to 277,192 and 386,198.25 is: 538,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,192 : 386,198.25 = 386,198.25 : x
  2. Step 2: Convert to fraction form
    277,192/386,198.25 = 386,198.25/x
  3. Step 3: Cross multiply
    277,192x = 386,198.25 × 386,198.25
  4. Step 4: Simplify right side
    277,192x = 149,149,088,303.06
  5. Step 5: Solve for x
    x = 149,149,088,303.06/277,192
  6. Step 6: Final answer
    x = 538,071.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.