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Finding the Third Proportional to 176,116 and 383,660

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Solution

The third proportional to 176,116 and 383,660 is: 835,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,116 : 383,660 = 383,660 : x
  2. Step 2: Convert to fraction form
    176,116/383,660 = 383,660/x
  3. Step 3: Cross multiply
    176,116x = 383,660 × 383,660
  4. Step 4: Simplify right side
    176,116x = 147,194,995,600
  5. Step 5: Solve for x
    x = 147,194,995,600/176,116
  6. Step 6: Final answer
    x = 835,784.34

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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.