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Finding the Third Proportional to 198,643.50 and 302,555.25

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Solution

The third proportional to 198,643.50 and 302,555.25 is: 460,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,643.50 : 302,555.25 = 302,555.25 : x
  2. Step 2: Convert to fraction form
    198,643.50/302,555.25 = 302,555.25/x
  3. Step 3: Cross multiply
    198,643.50x = 302,555.25 × 302,555.25
  4. Step 4: Simplify right side
    198,643.50x = 91,539,679,302.56
  5. Step 5: Solve for x
    x = 91,539,679,302.56/198,643.50
  6. Step 6: Final answer
    x = 460,823.93

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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.