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Finding the Third Proportional to 174,934.69 and 262,343.81

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Solution

The third proportional to 174,934.69 and 262,343.81 is: 393,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,934.69 : 262,343.81 = 262,343.81 : x
  2. Step 2: Convert to fraction form
    174,934.69/262,343.81 = 262,343.81/x
  3. Step 3: Cross multiply
    174,934.69x = 262,343.81 × 262,343.81
  4. Step 4: Simplify right side
    174,934.69x = 68,824,275,957.04
  5. Step 5: Solve for x
    x = 68,824,275,957.04/174,934.69
  6. Step 6: Final answer
    x = 393,428.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.