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Finding the Third Proportional to 198,308.25 and 302,109.75

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Solution

The third proportional to 198,308.25 and 302,109.75 is: 460,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,308.25 : 302,109.75 = 302,109.75 : x
  2. Step 2: Convert to fraction form
    198,308.25/302,109.75 = 302,109.75/x
  3. Step 3: Cross multiply
    198,308.25x = 302,109.75 × 302,109.75
  4. Step 4: Simplify right side
    198,308.25x = 91,270,301,045.06
  5. Step 5: Solve for x
    x = 91,270,301,045.06/198,308.25
  6. Step 6: Final answer
    x = 460,244.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.