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Finding the Third Proportional to 186,426 and 263,540.25

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Solution

The third proportional to 186,426 and 263,540.25 is: 372,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,426 : 263,540.25 = 263,540.25 : x
  2. Step 2: Convert to fraction form
    186,426/263,540.25 = 263,540.25/x
  3. Step 3: Cross multiply
    186,426x = 263,540.25 × 263,540.25
  4. Step 4: Simplify right side
    186,426x = 69,453,463,370.06
  5. Step 5: Solve for x
    x = 69,453,463,370.06/186,426
  6. Step 6: Final answer
    x = 372,552.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.