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Finding the Third Proportional to 186,148.13 and 262,272.94

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Solution

The third proportional to 186,148.13 and 262,272.94 is: 369,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,148.13 : 262,272.94 = 262,272.94 : x
  2. Step 2: Convert to fraction form
    186,148.13/262,272.94 = 262,272.94/x
  3. Step 3: Cross multiply
    186,148.13x = 262,272.94 × 262,272.94
  4. Step 4: Simplify right side
    186,148.13x = 68,787,093,744.88
  5. Step 5: Solve for x
    x = 68,787,093,744.88/186,148.13
  6. Step 6: Final answer
    x = 369,528.80

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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.