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Finding the Third Proportional to 113,182 and 245,834

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Solution

The third proportional to 113,182 and 245,834 is: 533,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,182 : 245,834 = 245,834 : x
  2. Step 2: Convert to fraction form
    113,182/245,834 = 245,834/x
  3. Step 3: Cross multiply
    113,182x = 245,834 × 245,834
  4. Step 4: Simplify right side
    113,182x = 60,434,355,556
  5. Step 5: Solve for x
    x = 60,434,355,556/113,182
  6. Step 6: Final answer
    x = 533,957.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.