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Finding the Third Proportional to 149,606.25 and 302,583.75

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Solution

The third proportional to 149,606.25 and 302,583.75 is: 611,985.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,606.25 : 302,583.75 = 302,583.75 : x
  2. Step 2: Convert to fraction form
    149,606.25/302,583.75 = 302,583.75/x
  3. Step 3: Cross multiply
    149,606.25x = 302,583.75 × 302,583.75
  4. Step 4: Simplify right side
    149,606.25x = 91,556,925,764.06
  5. Step 5: Solve for x
    x = 91,556,925,764.06/149,606.25
  6. Step 6: Final answer
    x = 611,985.97

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.