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Finding the Third Proportional to 202,988 and 436,216

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Solution

The third proportional to 202,988 and 436,216 is: 937,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,988 : 436,216 = 436,216 : x
  2. Step 2: Convert to fraction form
    202,988/436,216 = 436,216/x
  3. Step 3: Cross multiply
    202,988x = 436,216 × 436,216
  4. Step 4: Simplify right side
    202,988x = 190,284,398,656
  5. Step 5: Solve for x
    x = 190,284,398,656/202,988
  6. Step 6: Final answer
    x = 937,416.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.