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Finding the Third Proportional to 117,535 and 255,581

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Solution

The third proportional to 117,535 and 255,581 is: 555,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,535 : 255,581 = 255,581 : x
  2. Step 2: Convert to fraction form
    117,535/255,581 = 255,581/x
  3. Step 3: Cross multiply
    117,535x = 255,581 × 255,581
  4. Step 4: Simplify right side
    117,535x = 65,321,647,561
  5. Step 5: Solve for x
    x = 65,321,647,561/117,535
  6. Step 6: Final answer
    x = 555,763.37

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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.