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Finding the Third Proportional to 198,052.88 and 432,395.44

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Solution

The third proportional to 198,052.88 and 432,395.44 is: 944,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,052.88 : 432,395.44 = 432,395.44 : x
  2. Step 2: Convert to fraction form
    198,052.88/432,395.44 = 432,395.44/x
  3. Step 3: Cross multiply
    198,052.88x = 432,395.44 × 432,395.44
  4. Step 4: Simplify right side
    198,052.88x = 186,965,814,370.82
  5. Step 5: Solve for x
    x = 186,965,814,370.82/198,052.88
  6. Step 6: Final answer
    x = 944,019.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.