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Finding the Third Proportional to 176,096 and 366,784

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Solution

The third proportional to 176,096 and 366,784 is: 763,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,096 : 366,784 = 366,784 : x
  2. Step 2: Convert to fraction form
    176,096/366,784 = 366,784/x
  3. Step 3: Cross multiply
    176,096x = 366,784 × 366,784
  4. Step 4: Simplify right side
    176,096x = 134,530,502,656
  5. Step 5: Solve for x
    x = 134,530,502,656/176,096
  6. Step 6: Final answer
    x = 763,961.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.