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Finding the Third Proportional to 178,061 and 420,330

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Solution

The third proportional to 178,061 and 420,330 is: 992,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,061 : 420,330 = 420,330 : x
  2. Step 2: Convert to fraction form
    178,061/420,330 = 420,330/x
  3. Step 3: Cross multiply
    178,061x = 420,330 × 420,330
  4. Step 4: Simplify right side
    178,061x = 176,677,308,900
  5. Step 5: Solve for x
    x = 176,677,308,900/178,061
  6. Step 6: Final answer
    x = 992,229.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.