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Finding the Third Proportional to 198,528 and 297,828

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Solution

The third proportional to 198,528 and 297,828 is: 446,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,528 : 297,828 = 297,828 : x
  2. Step 2: Convert to fraction form
    198,528/297,828 = 297,828/x
  3. Step 3: Cross multiply
    198,528x = 297,828 × 297,828
  4. Step 4: Simplify right side
    198,528x = 88,701,517,584
  5. Step 5: Solve for x
    x = 88,701,517,584/198,528
  6. Step 6: Final answer
    x = 446,796.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.