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Finding the Third Proportional to 174,880.69 and 262,315.13

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Solution

The third proportional to 174,880.69 and 262,315.13 is: 393,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,880.69 : 262,315.13 = 262,315.13 : x
  2. Step 2: Convert to fraction form
    174,880.69/262,315.13 = 262,315.13/x
  3. Step 3: Cross multiply
    174,880.69x = 262,315.13 × 262,315.13
  4. Step 4: Simplify right side
    174,880.69x = 68,809,224,803.77
  5. Step 5: Solve for x
    x = 68,809,224,803.77/174,880.69
  6. Step 6: Final answer
    x = 393,463.83

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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.