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Finding the Third Proportional to 167,139 and 357,601

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Solution

The third proportional to 167,139 and 357,601 is: 765,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,139 : 357,601 = 357,601 : x
  2. Step 2: Convert to fraction form
    167,139/357,601 = 357,601/x
  3. Step 3: Cross multiply
    167,139x = 357,601 × 357,601
  4. Step 4: Simplify right side
    167,139x = 127,878,475,201
  5. Step 5: Solve for x
    x = 127,878,475,201/167,139
  6. Step 6: Final answer
    x = 765,102.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.