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Finding the Third Proportional to 207,987 and 304,180.50

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Solution

The third proportional to 207,987 and 304,180.50 is: 444,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,987 : 304,180.50 = 304,180.50 : x
  2. Step 2: Convert to fraction form
    207,987/304,180.50 = 304,180.50/x
  3. Step 3: Cross multiply
    207,987x = 304,180.50 × 304,180.50
  4. Step 4: Simplify right side
    207,987x = 92,525,776,580.25
  5. Step 5: Solve for x
    x = 92,525,776,580.25/207,987
  6. Step 6: Final answer
    x = 444,863.27

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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.