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Finding the Third Proportional to 176,700 and 383,100

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Solution

The third proportional to 176,700 and 383,100 is: 830,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,700 : 383,100 = 383,100 : x
  2. Step 2: Convert to fraction form
    176,700/383,100 = 383,100/x
  3. Step 3: Cross multiply
    176,700x = 383,100 × 383,100
  4. Step 4: Simplify right side
    176,700x = 146,765,610,000
  5. Step 5: Solve for x
    x = 146,765,610,000/176,700
  6. Step 6: Final answer
    x = 830,592.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.