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Finding the Third Proportional to 207,100 and 318,222

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Solution

The third proportional to 207,100 and 318,222 is: 488,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,100 : 318,222 = 318,222 : x
  2. Step 2: Convert to fraction form
    207,100/318,222 = 318,222/x
  3. Step 3: Cross multiply
    207,100x = 318,222 × 318,222
  4. Step 4: Simplify right side
    207,100x = 101,265,241,284
  5. Step 5: Solve for x
    x = 101,265,241,284/207,100
  6. Step 6: Final answer
    x = 488,967.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.