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Finding the Third Proportional to 198,548 and 297,862

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Solution

The third proportional to 198,548 and 297,862 is: 446,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,548 : 297,862 = 297,862 : x
  2. Step 2: Convert to fraction form
    198,548/297,862 = 297,862/x
  3. Step 3: Cross multiply
    198,548x = 297,862 × 297,862
  4. Step 4: Simplify right side
    198,548x = 88,721,771,044
  5. Step 5: Solve for x
    x = 88,721,771,044/198,548
  6. Step 6: Final answer
    x = 446,853.01

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