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Finding the Third Proportional to 174,893.63 and 262,477.13

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Solution

The third proportional to 174,893.63 and 262,477.13 is: 393,920.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,893.63 : 262,477.13 = 262,477.13 : x
  2. Step 2: Convert to fraction form
    174,893.63/262,477.13 = 262,477.13/x
  3. Step 3: Cross multiply
    174,893.63x = 262,477.13 × 262,477.13
  4. Step 4: Simplify right side
    174,893.63x = 68,894,241,148.27
  5. Step 5: Solve for x
    x = 68,894,241,148.27/174,893.63
  6. Step 6: Final answer
    x = 393,920.83

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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.