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Finding the Third Proportional to 207,646.50 and 318,324

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Solution

The third proportional to 207,646.50 and 318,324 is: 487,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,646.50 : 318,324 = 318,324 : x
  2. Step 2: Convert to fraction form
    207,646.50/318,324 = 318,324/x
  3. Step 3: Cross multiply
    207,646.50x = 318,324 × 318,324
  4. Step 4: Simplify right side
    207,646.50x = 101,330,168,976
  5. Step 5: Solve for x
    x = 101,330,168,976/207,646.50
  6. Step 6: Final answer
    x = 487,993.63

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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.