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Finding the Third Proportional to 160,013 and 257,754

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Solution

The third proportional to 160,013 and 257,754 is: 415,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,013 : 257,754 = 257,754 : x
  2. Step 2: Convert to fraction form
    160,013/257,754 = 257,754/x
  3. Step 3: Cross multiply
    160,013x = 257,754 × 257,754
  4. Step 4: Simplify right side
    160,013x = 66,437,124,516
  5. Step 5: Solve for x
    x = 66,437,124,516/160,013
  6. Step 6: Final answer
    x = 415,198.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.