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Finding the Third Proportional to 114,944 and 250,580

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Solution

The third proportional to 114,944 and 250,580 is: 546,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,944 : 250,580 = 250,580 : x
  2. Step 2: Convert to fraction form
    114,944/250,580 = 250,580/x
  3. Step 3: Cross multiply
    114,944x = 250,580 × 250,580
  4. Step 4: Simplify right side
    114,944x = 62,790,336,400
  5. Step 5: Solve for x
    x = 62,790,336,400/114,944
  6. Step 6: Final answer
    x = 546,268.93

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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.