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Finding the Third Proportional to 198,045 and 432,216

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Solution

The third proportional to 198,045 and 432,216 is: 943,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,045 : 432,216 = 432,216 : x
  2. Step 2: Convert to fraction form
    198,045/432,216 = 432,216/x
  3. Step 3: Cross multiply
    198,045x = 432,216 × 432,216
  4. Step 4: Simplify right side
    198,045x = 186,810,670,656
  5. Step 5: Solve for x
    x = 186,810,670,656/198,045
  6. Step 6: Final answer
    x = 943,273.86

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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.