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Finding the Third Proportional to 202,532 and 325,400

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Solution

The third proportional to 202,532 and 325,400 is: 522,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,532 : 325,400 = 325,400 : x
  2. Step 2: Convert to fraction form
    202,532/325,400 = 325,400/x
  3. Step 3: Cross multiply
    202,532x = 325,400 × 325,400
  4. Step 4: Simplify right side
    202,532x = 105,885,160,000
  5. Step 5: Solve for x
    x = 105,885,160,000/202,532
  6. Step 6: Final answer
    x = 522,807.06

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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.