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Finding the Third Proportional to 199,422 and 432,033.75

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Solution

The third proportional to 199,422 and 432,033.75 is: 935,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,422 : 432,033.75 = 432,033.75 : x
  2. Step 2: Convert to fraction form
    199,422/432,033.75 = 432,033.75/x
  3. Step 3: Cross multiply
    199,422x = 432,033.75 × 432,033.75
  4. Step 4: Simplify right side
    199,422x = 186,653,161,139.06
  5. Step 5: Solve for x
    x = 186,653,161,139.06/199,422
  6. Step 6: Final answer
    x = 935,970.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.