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Finding the Third Proportional to 180,486 and 264,573

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Solution

The third proportional to 180,486 and 264,573 is: 387,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,486 : 264,573 = 264,573 : x
  2. Step 2: Convert to fraction form
    180,486/264,573 = 264,573/x
  3. Step 3: Cross multiply
    180,486x = 264,573 × 264,573
  4. Step 4: Simplify right side
    180,486x = 69,998,872,329
  5. Step 5: Solve for x
    x = 69,998,872,329/180,486
  6. Step 6: Final answer
    x = 387,835.47

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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.