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Finding the Third Proportional to 175,293 and 383,007

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Solution

The third proportional to 175,293 and 383,007 is: 836,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,293 : 383,007 = 383,007 : x
  2. Step 2: Convert to fraction form
    175,293/383,007 = 383,007/x
  3. Step 3: Cross multiply
    175,293x = 383,007 × 383,007
  4. Step 4: Simplify right side
    175,293x = 146,694,362,049
  5. Step 5: Solve for x
    x = 146,694,362,049/175,293
  6. Step 6: Final answer
    x = 836,852.37

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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.