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Finding the Third Proportional to 203,761 and 314,875

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Solution

The third proportional to 203,761 and 314,875 is: 486,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,761 : 314,875 = 314,875 : x
  2. Step 2: Convert to fraction form
    203,761/314,875 = 314,875/x
  3. Step 3: Cross multiply
    203,761x = 314,875 × 314,875
  4. Step 4: Simplify right side
    203,761x = 99,146,265,625
  5. Step 5: Solve for x
    x = 99,146,265,625/203,761
  6. Step 6: Final answer
    x = 486,581.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.