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Finding the Third Proportional to 131,196 and 287,016

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Solution

The third proportional to 131,196 and 287,016 is: 627,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,196 : 287,016 = 287,016 : x
  2. Step 2: Convert to fraction form
    131,196/287,016 = 287,016/x
  3. Step 3: Cross multiply
    131,196x = 287,016 × 287,016
  4. Step 4: Simplify right side
    131,196x = 82,378,184,256
  5. Step 5: Solve for x
    x = 82,378,184,256/131,196
  6. Step 6: Final answer
    x = 627,901.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.