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Finding the Third Proportional to 176,164 and 381,028

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Solution

The third proportional to 176,164 and 381,028 is: 824,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,164 : 381,028 = 381,028 : x
  2. Step 2: Convert to fraction form
    176,164/381,028 = 381,028/x
  3. Step 3: Cross multiply
    176,164x = 381,028 × 381,028
  4. Step 4: Simplify right side
    176,164x = 145,182,336,784
  5. Step 5: Solve for x
    x = 145,182,336,784/176,164
  6. Step 6: Final answer
    x = 824,131.70

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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.