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Finding the Third Proportional to 180,640.13 and 277,764.19

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Solution

The third proportional to 180,640.13 and 277,764.19 is: 427,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,640.13 : 277,764.19 = 277,764.19 : x
  2. Step 2: Convert to fraction form
    180,640.13/277,764.19 = 277,764.19/x
  3. Step 3: Cross multiply
    180,640.13x = 277,764.19 × 277,764.19
  4. Step 4: Simplify right side
    180,640.13x = 77,152,943,857.54
  5. Step 5: Solve for x
    x = 77,152,943,857.54/180,640.13
  6. Step 6: Final answer
    x = 427,108.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.