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Finding the Third Proportional to 203,020 and 297,894

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Solution

The third proportional to 203,020 and 297,894 is: 437,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,020 : 297,894 = 297,894 : x
  2. Step 2: Convert to fraction form
    203,020/297,894 = 297,894/x
  3. Step 3: Cross multiply
    203,020x = 297,894 × 297,894
  4. Step 4: Simplify right side
    203,020x = 88,740,835,236
  5. Step 5: Solve for x
    x = 88,740,835,236/203,020
  6. Step 6: Final answer
    x = 437,103.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.