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Finding the Third Proportional to 202,545 and 436,251

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Solution

The third proportional to 202,545 and 436,251 is: 939,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,545 : 436,251 = 436,251 : x
  2. Step 2: Convert to fraction form
    202,545/436,251 = 436,251/x
  3. Step 3: Cross multiply
    202,545x = 436,251 × 436,251
  4. Step 4: Simplify right side
    202,545x = 190,314,935,001
  5. Step 5: Solve for x
    x = 190,314,935,001/202,545
  6. Step 6: Final answer
    x = 939,618.04

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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.