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Finding the Third Proportional to 180,192 and 383,712

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Solution

The third proportional to 180,192 and 383,712 is: 817,100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,192 : 383,712 = 383,712 : x
  2. Step 2: Convert to fraction form
    180,192/383,712 = 383,712/x
  3. Step 3: Cross multiply
    180,192x = 383,712 × 383,712
  4. Step 4: Simplify right side
    180,192x = 147,234,898,944
  5. Step 5: Solve for x
    x = 147,234,898,944/180,192
  6. Step 6: Final answer
    x = 817,100.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.