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Finding the Third Proportional to 178,665 and 357,330

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Solution

The third proportional to 178,665 and 357,330 is: 714,660

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,665 : 357,330 = 357,330 : x
  2. Step 2: Convert to fraction form
    178,665/357,330 = 357,330/x
  3. Step 3: Cross multiply
    178,665x = 357,330 × 357,330
  4. Step 4: Simplify right side
    178,665x = 127,684,728,900
  5. Step 5: Solve for x
    x = 127,684,728,900/178,665
  6. Step 6: Final answer
    x = 714,660

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.