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Finding the Third Proportional to 200,494 and 291,265

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Solution

The third proportional to 200,494 and 291,265 is: 423,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,494 : 291,265 = 291,265 : x
  2. Step 2: Convert to fraction form
    200,494/291,265 = 291,265/x
  3. Step 3: Cross multiply
    200,494x = 291,265 × 291,265
  4. Step 4: Simplify right side
    200,494x = 84,835,300,225
  5. Step 5: Solve for x
    x = 84,835,300,225/200,494
  6. Step 6: Final answer
    x = 423,131.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.