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Finding the Third Proportional to 170,138 and 253,548

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Solution

The third proportional to 170,138 and 253,548 is: 377,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,138 : 253,548 = 253,548 : x
  2. Step 2: Convert to fraction form
    170,138/253,548 = 253,548/x
  3. Step 3: Cross multiply
    170,138x = 253,548 × 253,548
  4. Step 4: Simplify right side
    170,138x = 64,286,588,304
  5. Step 5: Solve for x
    x = 64,286,588,304/170,138
  6. Step 6: Final answer
    x = 377,849.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.