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Finding the Third Proportional to 164,058 and 257,015

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Solution

The third proportional to 164,058 and 257,015 is: 402,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,058 : 257,015 = 257,015 : x
  2. Step 2: Convert to fraction form
    164,058/257,015 = 257,015/x
  3. Step 3: Cross multiply
    164,058x = 257,015 × 257,015
  4. Step 4: Simplify right side
    164,058x = 66,056,710,225
  5. Step 5: Solve for x
    x = 66,056,710,225/164,058
  6. Step 6: Final answer
    x = 402,642.42

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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.