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Finding the Third Proportional to 169,530 and 207,438

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Solution

The third proportional to 169,530 and 207,438 is: 253,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,530 : 207,438 = 207,438 : x
  2. Step 2: Convert to fraction form
    169,530/207,438 = 207,438/x
  3. Step 3: Cross multiply
    169,530x = 207,438 × 207,438
  4. Step 4: Simplify right side
    169,530x = 43,030,523,844
  5. Step 5: Solve for x
    x = 43,030,523,844/169,530
  6. Step 6: Final answer
    x = 253,822.47

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.