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Finding the Third Proportional to 113,929 and 245,389

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Solution

The third proportional to 113,929 and 245,389 is: 528,537.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,929 : 245,389 = 245,389 : x
  2. Step 2: Convert to fraction form
    113,929/245,389 = 245,389/x
  3. Step 3: Cross multiply
    113,929x = 245,389 × 245,389
  4. Step 4: Simplify right side
    113,929x = 60,215,761,321
  5. Step 5: Solve for x
    x = 60,215,761,321/113,929
  6. Step 6: Final answer
    x = 528,537.61

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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.