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Finding the Third Proportional to 180,467 and 252,312

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Solution

The third proportional to 180,467 and 252,312 is: 352,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,467 : 252,312 = 252,312 : x
  2. Step 2: Convert to fraction form
    180,467/252,312 = 252,312/x
  3. Step 3: Cross multiply
    180,467x = 252,312 × 252,312
  4. Step 4: Simplify right side
    180,467x = 63,661,345,344
  5. Step 5: Solve for x
    x = 63,661,345,344/180,467
  6. Step 6: Final answer
    x = 352,758.93

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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.