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Finding the Third Proportional to 119,464 and 180,728

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Solution

The third proportional to 119,464 and 180,728 is: 273,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,464 : 180,728 = 180,728 : x
  2. Step 2: Convert to fraction form
    119,464/180,728 = 180,728/x
  3. Step 3: Cross multiply
    119,464x = 180,728 × 180,728
  4. Step 4: Simplify right side
    119,464x = 32,662,609,984
  5. Step 5: Solve for x
    x = 32,662,609,984/119,464
  6. Step 6: Final answer
    x = 273,409.65

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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.