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Finding the Third Proportional to 180,266.06 and 261,104.34

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Solution

The third proportional to 180,266.06 and 261,104.34 is: 378,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,266.06 : 261,104.34 = 261,104.34 : x
  2. Step 2: Convert to fraction form
    180,266.06/261,104.34 = 261,104.34/x
  3. Step 3: Cross multiply
    180,266.06x = 261,104.34 × 261,104.34
  4. Step 4: Simplify right side
    180,266.06x = 68,175,478,325.12
  5. Step 5: Solve for x
    x = 68,175,478,325.12/180,266.06
  6. Step 6: Final answer
    x = 378,193.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.