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Finding the Third Proportional to 167,137 and 357,597

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Solution

The third proportional to 167,137 and 357,597 is: 765,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,137 : 357,597 = 357,597 : x
  2. Step 2: Convert to fraction form
    167,137/357,597 = 357,597/x
  3. Step 3: Cross multiply
    167,137x = 357,597 × 357,597
  4. Step 4: Simplify right side
    167,137x = 127,875,614,409
  5. Step 5: Solve for x
    x = 127,875,614,409/167,137
  6. Step 6: Final answer
    x = 765,094.59

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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.