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Finding the Third Proportional to 135,875 and 277,798

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Solution

The third proportional to 135,875 and 277,798 is: 567,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,875 : 277,798 = 277,798 : x
  2. Step 2: Convert to fraction form
    135,875/277,798 = 277,798/x
  3. Step 3: Cross multiply
    135,875x = 277,798 × 277,798
  4. Step 4: Simplify right side
    135,875x = 77,171,728,804
  5. Step 5: Solve for x
    x = 77,171,728,804/135,875
  6. Step 6: Final answer
    x = 567,961.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.