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Finding the Third Proportional to 202,532 and 436,226

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Solution

The third proportional to 202,532 and 436,226 is: 939,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,532 : 436,226 = 436,226 : x
  2. Step 2: Convert to fraction form
    202,532/436,226 = 436,226/x
  3. Step 3: Cross multiply
    202,532x = 436,226 × 436,226
  4. Step 4: Simplify right side
    202,532x = 190,293,123,076
  5. Step 5: Solve for x
    x = 190,293,123,076/202,532
  6. Step 6: Final answer
    x = 939,570.65

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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.