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Finding the Third Proportional to 167,330 and 245,412

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Solution

The third proportional to 167,330 and 245,412 is: 359,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,330 : 245,412 = 245,412 : x
  2. Step 2: Convert to fraction form
    167,330/245,412 = 245,412/x
  3. Step 3: Cross multiply
    167,330x = 245,412 × 245,412
  4. Step 4: Simplify right side
    167,330x = 60,227,049,744
  5. Step 5: Solve for x
    x = 60,227,049,744/167,330
  6. Step 6: Final answer
    x = 359,929.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.