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Finding the Third Proportional to 145,569 and 200,452

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Solution

The third proportional to 145,569 and 200,452 is: 276,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,569 : 200,452 = 200,452 : x
  2. Step 2: Convert to fraction form
    145,569/200,452 = 200,452/x
  3. Step 3: Cross multiply
    145,569x = 200,452 × 200,452
  4. Step 4: Simplify right side
    145,569x = 40,181,004,304
  5. Step 5: Solve for x
    x = 40,181,004,304/145,569
  6. Step 6: Final answer
    x = 276,027.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.