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Finding the Third Proportional to 248,948 and 382,652

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Solution

The third proportional to 248,948 and 382,652 is: 588,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,948 : 382,652 = 382,652 : x
  2. Step 2: Convert to fraction form
    248,948/382,652 = 382,652/x
  3. Step 3: Cross multiply
    248,948x = 382,652 × 382,652
  4. Step 4: Simplify right side
    248,948x = 146,422,553,104
  5. Step 5: Solve for x
    x = 146,422,553,104/248,948
  6. Step 6: Final answer
    x = 588,165.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.