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Finding the Third Proportional to 146,024 and 316,833

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Solution

The third proportional to 146,024 and 316,833 is: 687,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,024 : 316,833 = 316,833 : x
  2. Step 2: Convert to fraction form
    146,024/316,833 = 316,833/x
  3. Step 3: Cross multiply
    146,024x = 316,833 × 316,833
  4. Step 4: Simplify right side
    146,024x = 100,383,149,889
  5. Step 5: Solve for x
    x = 100,383,149,889/146,024
  6. Step 6: Final answer
    x = 687,442.82

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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.