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Finding the Third Proportional to 117,545 and 261,250

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Solution

The third proportional to 117,545 and 261,250 is: 580,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,545 : 261,250 = 261,250 : x
  2. Step 2: Convert to fraction form
    117,545/261,250 = 261,250/x
  3. Step 3: Cross multiply
    117,545x = 261,250 × 261,250
  4. Step 4: Simplify right side
    117,545x = 68,251,562,500
  5. Step 5: Solve for x
    x = 68,251,562,500/117,545
  6. Step 6: Final answer
    x = 580,641.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.