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Finding the Third Proportional to 202,414 and 301,980

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Solution

The third proportional to 202,414 and 301,980 is: 450,521.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,414 : 301,980 = 301,980 : x
  2. Step 2: Convert to fraction form
    202,414/301,980 = 301,980/x
  3. Step 3: Cross multiply
    202,414x = 301,980 × 301,980
  4. Step 4: Simplify right side
    202,414x = 91,191,920,400
  5. Step 5: Solve for x
    x = 91,191,920,400/202,414
  6. Step 6: Final answer
    x = 450,521.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.