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Finding the Third Proportional to 114,316 and 250,766

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Solution

The third proportional to 114,316 and 250,766 is: 550,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,316 : 250,766 = 250,766 : x
  2. Step 2: Convert to fraction form
    114,316/250,766 = 250,766/x
  3. Step 3: Cross multiply
    114,316x = 250,766 × 250,766
  4. Step 4: Simplify right side
    114,316x = 62,883,586,756
  5. Step 5: Solve for x
    x = 62,883,586,756/114,316
  6. Step 6: Final answer
    x = 550,085.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.