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Finding the Third Proportional to 205,038 and 445,050

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Solution

The third proportional to 205,038 and 445,050 is: 966,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038 : 445,050 = 445,050 : x
  2. Step 2: Convert to fraction form
    205,038/445,050 = 445,050/x
  3. Step 3: Cross multiply
    205,038x = 445,050 × 445,050
  4. Step 4: Simplify right side
    205,038x = 198,069,502,500
  5. Step 5: Solve for x
    x = 198,069,502,500/205,038
  6. Step 6: Final answer
    x = 966,013.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.