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Finding the Third Proportional to 207,867 and 304,024.50

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Solution

The third proportional to 207,867 and 304,024.50 is: 444,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,867 : 304,024.50 = 304,024.50 : x
  2. Step 2: Convert to fraction form
    207,867/304,024.50 = 304,024.50/x
  3. Step 3: Cross multiply
    207,867x = 304,024.50 × 304,024.50
  4. Step 4: Simplify right side
    207,867x = 92,430,896,600.25
  5. Step 5: Solve for x
    x = 92,430,896,600.25/207,867
  6. Step 6: Final answer
    x = 444,663.64

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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.