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Finding the Third Proportional to 90,024 and 200,784

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Solution

The third proportional to 90,024 and 200,784 is: 447,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,024 : 200,784 = 200,784 : x
  2. Step 2: Convert to fraction form
    90,024/200,784 = 200,784/x
  3. Step 3: Cross multiply
    90,024x = 200,784 × 200,784
  4. Step 4: Simplify right side
    90,024x = 40,314,214,656
  5. Step 5: Solve for x
    x = 40,314,214,656/90,024
  6. Step 6: Final answer
    x = 447,816.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.