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Finding the Third Proportional to 207,645 and 318,321

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Solution

The third proportional to 207,645 and 318,321 is: 487,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,645 : 318,321 = 318,321 : x
  2. Step 2: Convert to fraction form
    207,645/318,321 = 318,321/x
  3. Step 3: Cross multiply
    207,645x = 318,321 × 318,321
  4. Step 4: Simplify right side
    207,645x = 101,328,259,041
  5. Step 5: Solve for x
    x = 101,328,259,041/207,645
  6. Step 6: Final answer
    x = 487,987.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.