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Finding the Third Proportional to 169,534 and 207,442

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Solution

The third proportional to 169,534 and 207,442 is: 253,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,534 : 207,442 = 207,442 : x
  2. Step 2: Convert to fraction form
    169,534/207,442 = 207,442/x
  3. Step 3: Cross multiply
    169,534x = 207,442 × 207,442
  4. Step 4: Simplify right side
    169,534x = 43,032,183,364
  5. Step 5: Solve for x
    x = 43,032,183,364/169,534
  6. Step 6: Final answer
    x = 253,826.27

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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.