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Finding the Third Proportional to 207,673 and 325,349

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Solution

The third proportional to 207,673 and 325,349 is: 509,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,673 : 325,349 = 325,349 : x
  2. Step 2: Convert to fraction form
    207,673/325,349 = 325,349/x
  3. Step 3: Cross multiply
    207,673x = 325,349 × 325,349
  4. Step 4: Simplify right side
    207,673x = 105,851,971,801
  5. Step 5: Solve for x
    x = 105,851,971,801/207,673
  6. Step 6: Final answer
    x = 509,705.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.