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Finding the Third Proportional to 114,474 and 250,818

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Solution

The third proportional to 114,474 and 250,818 is: 549,554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,474 : 250,818 = 250,818 : x
  2. Step 2: Convert to fraction form
    114,474/250,818 = 250,818/x
  3. Step 3: Cross multiply
    114,474x = 250,818 × 250,818
  4. Step 4: Simplify right side
    114,474x = 62,909,669,124
  5. Step 5: Solve for x
    x = 62,909,669,124/114,474
  6. Step 6: Final answer
    x = 549,554.21

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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.