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Finding the Third Proportional to 198,291.75 and 302,084.25

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Solution

The third proportional to 198,291.75 and 302,084.25 is: 460,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,291.75 : 302,084.25 = 302,084.25 : x
  2. Step 2: Convert to fraction form
    198,291.75/302,084.25 = 302,084.25/x
  3. Step 3: Cross multiply
    198,291.75x = 302,084.25 × 302,084.25
  4. Step 4: Simplify right side
    198,291.75x = 91,254,894,098.06
  5. Step 5: Solve for x
    x = 91,254,894,098.06/198,291.75
  6. Step 6: Final answer
    x = 460,205.20

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Why These Related Problems?

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