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Finding the Third Proportional to 175,081 and 384,453

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Solution

The third proportional to 175,081 and 384,453 is: 844,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,081 : 384,453 = 384,453 : x
  2. Step 2: Convert to fraction form
    175,081/384,453 = 384,453/x
  3. Step 3: Cross multiply
    175,081x = 384,453 × 384,453
  4. Step 4: Simplify right side
    175,081x = 147,804,109,209
  5. Step 5: Solve for x
    x = 147,804,109,209/175,081
  6. Step 6: Final answer
    x = 844,204.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.