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Finding the Third Proportional to 94,526 and 204,569

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Solution

The third proportional to 94,526 and 204,569 is: 442,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,526 : 204,569 = 204,569 : x
  2. Step 2: Convert to fraction form
    94,526/204,569 = 204,569/x
  3. Step 3: Cross multiply
    94,526x = 204,569 × 204,569
  4. Step 4: Simplify right side
    94,526x = 41,848,475,761
  5. Step 5: Solve for x
    x = 41,848,475,761/94,526
  6. Step 6: Final answer
    x = 442,719.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.