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Finding the Third Proportional to 198,310 and 468,045

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Solution

The third proportional to 198,310 and 468,045 is: 1,104,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,310 : 468,045 = 468,045 : x
  2. Step 2: Convert to fraction form
    198,310/468,045 = 468,045/x
  3. Step 3: Cross multiply
    198,310x = 468,045 × 468,045
  4. Step 4: Simplify right side
    198,310x = 219,066,122,025
  5. Step 5: Solve for x
    x = 219,066,122,025/198,310
  6. Step 6: Final answer
    x = 1,104,665.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.