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Finding the Third Proportional to 119,434 and 180,695

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Solution

The third proportional to 119,434 and 180,695 is: 273,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,434 : 180,695 = 180,695 : x
  2. Step 2: Convert to fraction form
    119,434/180,695 = 180,695/x
  3. Step 3: Cross multiply
    119,434x = 180,695 × 180,695
  4. Step 4: Simplify right side
    119,434x = 32,650,683,025
  5. Step 5: Solve for x
    x = 32,650,683,025/119,434
  6. Step 6: Final answer
    x = 273,378.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.