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Finding the Third Proportional to 202,536 and 325,406

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Solution

The third proportional to 202,536 and 325,406 is: 522,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,536 : 325,406 = 325,406 : x
  2. Step 2: Convert to fraction form
    202,536/325,406 = 325,406/x
  3. Step 3: Cross multiply
    202,536x = 325,406 × 325,406
  4. Step 4: Simplify right side
    202,536x = 105,889,064,836
  5. Step 5: Solve for x
    x = 105,889,064,836/202,536
  6. Step 6: Final answer
    x = 522,816.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.