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Finding the Third Proportional to 207,185.50 and 457,929

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Solution

The third proportional to 207,185.50 and 457,929 is: 1,012,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,185.50 : 457,929 = 457,929 : x
  2. Step 2: Convert to fraction form
    207,185.50/457,929 = 457,929/x
  3. Step 3: Cross multiply
    207,185.50x = 457,929 × 457,929
  4. Step 4: Simplify right side
    207,185.50x = 209,698,969,041
  5. Step 5: Solve for x
    x = 209,698,969,041/207,185.50
  6. Step 6: Final answer
    x = 1,012,131.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.