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Finding the Third Proportional to 113,949 and 245,421

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Solution

The third proportional to 113,949 and 245,421 is: 528,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,949 : 245,421 = 245,421 : x
  2. Step 2: Convert to fraction form
    113,949/245,421 = 245,421/x
  3. Step 3: Cross multiply
    113,949x = 245,421 × 245,421
  4. Step 4: Simplify right side
    113,949x = 60,231,467,241
  5. Step 5: Solve for x
    x = 60,231,467,241/113,949
  6. Step 6: Final answer
    x = 528,582.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.