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Finding the Third Proportional to 94,288 and 205,240

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Solution

The third proportional to 94,288 and 205,240 is: 446,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,288 : 205,240 = 205,240 : x
  2. Step 2: Convert to fraction form
    94,288/205,240 = 205,240/x
  3. Step 3: Cross multiply
    94,288x = 205,240 × 205,240
  4. Step 4: Simplify right side
    94,288x = 42,123,457,600
  5. Step 5: Solve for x
    x = 42,123,457,600/94,288
  6. Step 6: Final answer
    x = 446,753.11

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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.