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Finding the Third Proportional to 164,052 and 257,013

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Solution

The third proportional to 164,052 and 257,013 is: 402,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,052 : 257,013 = 257,013 : x
  2. Step 2: Convert to fraction form
    164,052/257,013 = 257,013/x
  3. Step 3: Cross multiply
    164,052x = 257,013 × 257,013
  4. Step 4: Simplify right side
    164,052x = 66,055,682,169
  5. Step 5: Solve for x
    x = 66,055,682,169/164,052
  6. Step 6: Final answer
    x = 402,650.88

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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.