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Finding the Third Proportional to 180,192 and 282,648

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Solution

The third proportional to 180,192 and 282,648 is: 443,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,192 : 282,648 = 282,648 : x
  2. Step 2: Convert to fraction form
    180,192/282,648 = 282,648/x
  3. Step 3: Cross multiply
    180,192x = 282,648 × 282,648
  4. Step 4: Simplify right side
    180,192x = 79,889,891,904
  5. Step 5: Solve for x
    x = 79,889,891,904/180,192
  6. Step 6: Final answer
    x = 443,359.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.