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Finding the Third Proportional to 176,800 and 384,672

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Solution

The third proportional to 176,800 and 384,672 is: 836,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,800 : 384,672 = 384,672 : x
  2. Step 2: Convert to fraction form
    176,800/384,672 = 384,672/x
  3. Step 3: Cross multiply
    176,800x = 384,672 × 384,672
  4. Step 4: Simplify right side
    176,800x = 147,972,547,584
  5. Step 5: Solve for x
    x = 147,972,547,584/176,800
  6. Step 6: Final answer
    x = 836,948.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.