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Finding the Third Proportional to 167,225 and 357,130

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Solution

The third proportional to 167,225 and 357,130 is: 762,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,225 : 357,130 = 357,130 : x
  2. Step 2: Convert to fraction form
    167,225/357,130 = 357,130/x
  3. Step 3: Cross multiply
    167,225x = 357,130 × 357,130
  4. Step 4: Simplify right side
    167,225x = 127,541,836,900
  5. Step 5: Solve for x
    x = 127,541,836,900/167,225
  6. Step 6: Final answer
    x = 762,695.99

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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.