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Finding the Third Proportional to 167,058 and 364,264

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Solution

The third proportional to 167,058 and 364,264 is: 794,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,058 : 364,264 = 364,264 : x
  2. Step 2: Convert to fraction form
    167,058/364,264 = 364,264/x
  3. Step 3: Cross multiply
    167,058x = 364,264 × 364,264
  4. Step 4: Simplify right side
    167,058x = 132,688,261,696
  5. Step 5: Solve for x
    x = 132,688,261,696/167,058
  6. Step 6: Final answer
    x = 794,264.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.