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Finding the Third Proportional to 160,011 and 257,751

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Solution

The third proportional to 160,011 and 257,751 is: 415,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,011 : 257,751 = 257,751 : x
  2. Step 2: Convert to fraction form
    160,011/257,751 = 257,751/x
  3. Step 3: Cross multiply
    160,011x = 257,751 × 257,751
  4. Step 4: Simplify right side
    160,011x = 66,435,578,001
  5. Step 5: Solve for x
    x = 66,435,578,001/160,011
  6. Step 6: Final answer
    x = 415,193.82

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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.