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Finding the Third Proportional to 190,987.50 and 404,742

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Solution

The third proportional to 190,987.50 and 404,742 is: 857,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,987.50 : 404,742 = 404,742 : x
  2. Step 2: Convert to fraction form
    190,987.50/404,742 = 404,742/x
  3. Step 3: Cross multiply
    190,987.50x = 404,742 × 404,742
  4. Step 4: Simplify right side
    190,987.50x = 163,816,086,564
  5. Step 5: Solve for x
    x = 163,816,086,564/190,987.50
  6. Step 6: Final answer
    x = 857,731.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.