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Finding the Third Proportional to 164,058.75 and 257,022.75

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Solution

The third proportional to 164,058.75 and 257,022.75 is: 402,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,058.75 : 257,022.75 = 257,022.75 : x
  2. Step 2: Convert to fraction form
    164,058.75/257,022.75 = 257,022.75/x
  3. Step 3: Cross multiply
    164,058.75x = 257,022.75 × 257,022.75
  4. Step 4: Simplify right side
    164,058.75x = 66,060,694,017.56
  5. Step 5: Solve for x
    x = 66,060,694,017.56/164,058.75
  6. Step 6: Final answer
    x = 402,664.86

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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.