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Finding the Third Proportional to 180,919 and 265,954

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Solution

The third proportional to 180,919 and 265,954 is: 390,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,919 : 265,954 = 265,954 : x
  2. Step 2: Convert to fraction form
    180,919/265,954 = 265,954/x
  3. Step 3: Cross multiply
    180,919x = 265,954 × 265,954
  4. Step 4: Simplify right side
    180,919x = 70,731,530,116
  5. Step 5: Solve for x
    x = 70,731,530,116/180,919
  6. Step 6: Final answer
    x = 390,956.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.