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Finding the Third Proportional to 180,465 and 252,293

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Solution

The third proportional to 180,465 and 252,293 is: 352,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,465 : 252,293 = 252,293 : x
  2. Step 2: Convert to fraction form
    180,465/252,293 = 252,293/x
  3. Step 3: Cross multiply
    180,465x = 252,293 × 252,293
  4. Step 4: Simplify right side
    180,465x = 63,651,757,849
  5. Step 5: Solve for x
    x = 63,651,757,849/180,465
  6. Step 6: Final answer
    x = 352,709.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.