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Finding the Third Proportional to 175,266 and 382,564

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Solution

The third proportional to 175,266 and 382,564 is: 835,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,266 : 382,564 = 382,564 : x
  2. Step 2: Convert to fraction form
    175,266/382,564 = 382,564/x
  3. Step 3: Cross multiply
    175,266x = 382,564 × 382,564
  4. Step 4: Simplify right side
    175,266x = 146,355,214,096
  5. Step 5: Solve for x
    x = 146,355,214,096/175,266
  6. Step 6: Final answer
    x = 835,046.24

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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.