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Finding the Third Proportional to 198,470.25 and 295,655.06

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Solution

The third proportional to 198,470.25 and 295,655.06 is: 440,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,470.25 : 295,655.06 = 295,655.06 : x
  2. Step 2: Convert to fraction form
    198,470.25/295,655.06 = 295,655.06/x
  3. Step 3: Cross multiply
    198,470.25x = 295,655.06 × 295,655.06
  4. Step 4: Simplify right side
    198,470.25x = 87,411,915,981.88
  5. Step 5: Solve for x
    x = 87,411,915,981.88/198,470.25
  6. Step 6: Final answer
    x = 440,428.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.