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Finding the Third Proportional to 164,041 and 253,331

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Solution

The third proportional to 164,041 and 253,331 is: 391,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,041 : 253,331 = 253,331 : x
  2. Step 2: Convert to fraction form
    164,041/253,331 = 253,331/x
  3. Step 3: Cross multiply
    164,041x = 253,331 × 253,331
  4. Step 4: Simplify right side
    164,041x = 64,176,595,561
  5. Step 5: Solve for x
    x = 64,176,595,561/164,041
  6. Step 6: Final answer
    x = 391,222.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.