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Finding the Third Proportional to 277,170.75 and 386,168.63

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Solution

The third proportional to 277,170.75 and 386,168.63 is: 538,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,170.75 : 386,168.63 = 386,168.63 : x
  2. Step 2: Convert to fraction form
    277,170.75/386,168.63 = 386,168.63/x
  3. Step 3: Cross multiply
    277,170.75x = 386,168.63 × 386,168.63
  4. Step 4: Simplify right side
    277,170.75x = 149,126,206,934.39
  5. Step 5: Solve for x
    x = 149,126,206,934.39/277,170.75
  6. Step 6: Final answer
    x = 538,030.10

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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.