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Finding the Third Proportional to 200,616 and 437,196

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Solution

The third proportional to 200,616 and 437,196 is: 952,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,616 : 437,196 = 437,196 : x
  2. Step 2: Convert to fraction form
    200,616/437,196 = 437,196/x
  3. Step 3: Cross multiply
    200,616x = 437,196 × 437,196
  4. Step 4: Simplify right side
    200,616x = 191,140,342,416
  5. Step 5: Solve for x
    x = 191,140,342,416/200,616
  6. Step 6: Final answer
    x = 952,767.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.