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Finding the Third Proportional to 201,861 and 293,394

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Solution

The third proportional to 201,861 and 293,394 is: 426,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,861 : 293,394 = 293,394 : x
  2. Step 2: Convert to fraction form
    201,861/293,394 = 293,394/x
  3. Step 3: Cross multiply
    201,861x = 293,394 × 293,394
  4. Step 4: Simplify right side
    201,861x = 86,080,039,236
  5. Step 5: Solve for x
    x = 86,080,039,236/201,861
  6. Step 6: Final answer
    x = 426,432.24

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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.