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Finding the Third Proportional to 203,528 and 298,002

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Solution

The third proportional to 203,528 and 298,002 is: 436,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,528 : 298,002 = 298,002 : x
  2. Step 2: Convert to fraction form
    203,528/298,002 = 298,002/x
  3. Step 3: Cross multiply
    203,528x = 298,002 × 298,002
  4. Step 4: Simplify right side
    203,528x = 88,805,192,004
  5. Step 5: Solve for x
    x = 88,805,192,004/203,528
  6. Step 6: Final answer
    x = 436,329.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.