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Finding the Third Proportional to 207,738 and 444,271.50

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Solution

The third proportional to 207,738 and 444,271.50 is: 950,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,738 : 444,271.50 = 444,271.50 : x
  2. Step 2: Convert to fraction form
    207,738/444,271.50 = 444,271.50/x
  3. Step 3: Cross multiply
    207,738x = 444,271.50 × 444,271.50
  4. Step 4: Simplify right side
    207,738x = 197,377,165,712.25
  5. Step 5: Solve for x
    x = 197,377,165,712.25/207,738
  6. Step 6: Final answer
    x = 950,125.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.