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Finding the Third Proportional to 180,837 and 390,834

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Solution

The third proportional to 180,837 and 390,834 is: 844,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,837 : 390,834 = 390,834 : x
  2. Step 2: Convert to fraction form
    180,837/390,834 = 390,834/x
  3. Step 3: Cross multiply
    180,837x = 390,834 × 390,834
  4. Step 4: Simplify right side
    180,837x = 152,751,215,556
  5. Step 5: Solve for x
    x = 152,751,215,556/180,837
  6. Step 6: Final answer
    x = 844,690.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.