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Finding the Third Proportional to 114,944.25 and 250,581

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Solution

The third proportional to 114,944.25 and 250,581 is: 546,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,944.25 : 250,581 = 250,581 : x
  2. Step 2: Convert to fraction form
    114,944.25/250,581 = 250,581/x
  3. Step 3: Cross multiply
    114,944.25x = 250,581 × 250,581
  4. Step 4: Simplify right side
    114,944.25x = 62,790,837,561
  5. Step 5: Solve for x
    x = 62,790,837,561/114,944.25
  6. Step 6: Final answer
    x = 546,272.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.