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Finding the Third Proportional to 164,059 and 257,023

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Solution

The third proportional to 164,059 and 257,023 is: 402,665.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,059 : 257,023 = 257,023 : x
  2. Step 2: Convert to fraction form
    164,059/257,023 = 257,023/x
  3. Step 3: Cross multiply
    164,059x = 257,023 × 257,023
  4. Step 4: Simplify right side
    164,059x = 66,060,822,529
  5. Step 5: Solve for x
    x = 66,060,822,529/164,059
  6. Step 6: Final answer
    x = 402,665.03

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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.