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Finding the Third Proportional to 134,951 and 198,052

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Solution

The third proportional to 134,951 and 198,052 is: 290,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,951 : 198,052 = 198,052 : x
  2. Step 2: Convert to fraction form
    134,951/198,052 = 198,052/x
  3. Step 3: Cross multiply
    134,951x = 198,052 × 198,052
  4. Step 4: Simplify right side
    134,951x = 39,224,594,704
  5. Step 5: Solve for x
    x = 39,224,594,704/134,951
  6. Step 6: Final answer
    x = 290,658.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.