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Finding the Third Proportional to 198,310.25 and 302,112.50

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Solution

The third proportional to 198,310.25 and 302,112.50 is: 460,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,310.25 : 302,112.50 = 302,112.50 : x
  2. Step 2: Convert to fraction form
    198,310.25/302,112.50 = 302,112.50/x
  3. Step 3: Cross multiply
    198,310.25x = 302,112.50 × 302,112.50
  4. Step 4: Simplify right side
    198,310.25x = 91,271,962,656.25
  5. Step 5: Solve for x
    x = 91,271,962,656.25/198,310.25
  6. Step 6: Final answer
    x = 460,248.34

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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.