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Finding the Third Proportional to 176,430 and 381,048

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Solution

The third proportional to 176,430 and 381,048 is: 822,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,430 : 381,048 = 381,048 : x
  2. Step 2: Convert to fraction form
    176,430/381,048 = 381,048/x
  3. Step 3: Cross multiply
    176,430x = 381,048 × 381,048
  4. Step 4: Simplify right side
    176,430x = 145,197,578,304
  5. Step 5: Solve for x
    x = 145,197,578,304/176,430
  6. Step 6: Final answer
    x = 822,975.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.