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Finding the Third Proportional to 180,622 and 277,727

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Solution

The third proportional to 180,622 and 277,727 is: 427,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,622 : 277,727 = 277,727 : x
  2. Step 2: Convert to fraction form
    180,622/277,727 = 277,727/x
  3. Step 3: Cross multiply
    180,622x = 277,727 × 277,727
  4. Step 4: Simplify right side
    180,622x = 77,132,286,529
  5. Step 5: Solve for x
    x = 77,132,286,529/180,622
  6. Step 6: Final answer
    x = 427,037.05

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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.