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Finding the Third Proportional to 166,407 and 359,058

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Solution

The third proportional to 166,407 and 359,058 is: 774,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,407 : 359,058 = 359,058 : x
  2. Step 2: Convert to fraction form
    166,407/359,058 = 359,058/x
  3. Step 3: Cross multiply
    166,407x = 359,058 × 359,058
  4. Step 4: Simplify right side
    166,407x = 128,922,647,364
  5. Step 5: Solve for x
    x = 128,922,647,364/166,407
  6. Step 6: Final answer
    x = 774,742.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.