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Finding the Third Proportional to 94,258 and 205,175

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Solution

The third proportional to 94,258 and 205,175 is: 446,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,258 : 205,175 = 205,175 : x
  2. Step 2: Convert to fraction form
    94,258/205,175 = 205,175/x
  3. Step 3: Cross multiply
    94,258x = 205,175 × 205,175
  4. Step 4: Simplify right side
    94,258x = 42,096,780,625
  5. Step 5: Solve for x
    x = 42,096,780,625/94,258
  6. Step 6: Final answer
    x = 446,612.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.