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Finding the Third Proportional to 164,067 and 257,037

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Solution

The third proportional to 164,067 and 257,037 is: 402,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,067 : 257,037 = 257,037 : x
  2. Step 2: Convert to fraction form
    164,067/257,037 = 257,037/x
  3. Step 3: Cross multiply
    164,067x = 257,037 × 257,037
  4. Step 4: Simplify right side
    164,067x = 66,068,019,369
  5. Step 5: Solve for x
    x = 66,068,019,369/164,067
  6. Step 6: Final answer
    x = 402,689.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.