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Finding the Third Proportional to 176,697 and 383,094

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Solution

The third proportional to 176,697 and 383,094 is: 830,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,697 : 383,094 = 383,094 : x
  2. Step 2: Convert to fraction form
    176,697/383,094 = 383,094/x
  3. Step 3: Cross multiply
    176,697x = 383,094 × 383,094
  4. Step 4: Simplify right side
    176,697x = 146,761,012,836
  5. Step 5: Solve for x
    x = 146,761,012,836/176,697
  6. Step 6: Final answer
    x = 830,580.11

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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.