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Finding the Third Proportional to 114,293 and 250,726

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Solution

The third proportional to 114,293 and 250,726 is: 550,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,293 : 250,726 = 250,726 : x
  2. Step 2: Convert to fraction form
    114,293/250,726 = 250,726/x
  3. Step 3: Cross multiply
    114,293x = 250,726 × 250,726
  4. Step 4: Simplify right side
    114,293x = 62,863,527,076
  5. Step 5: Solve for x
    x = 62,863,527,076/114,293
  6. Step 6: Final answer
    x = 550,020.80

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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.