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Finding the Third Proportional to 180,196 and 282,656

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Solution

The third proportional to 180,196 and 282,656 is: 443,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,196 : 282,656 = 282,656 : x
  2. Step 2: Convert to fraction form
    180,196/282,656 = 282,656/x
  3. Step 3: Cross multiply
    180,196x = 282,656 × 282,656
  4. Step 4: Simplify right side
    180,196x = 79,894,414,336
  5. Step 5: Solve for x
    x = 79,894,414,336/180,196
  6. Step 6: Final answer
    x = 443,375.07

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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.