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Finding the Third Proportional to 182,608 and 390,992

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Solution

The third proportional to 182,608 and 390,992 is: 837,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,608 : 390,992 = 390,992 : x
  2. Step 2: Convert to fraction form
    182,608/390,992 = 390,992/x
  3. Step 3: Cross multiply
    182,608x = 390,992 × 390,992
  4. Step 4: Simplify right side
    182,608x = 152,874,744,064
  5. Step 5: Solve for x
    x = 152,874,744,064/182,608
  6. Step 6: Final answer
    x = 837,174.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.