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Finding the Third Proportional to 174,957.75 and 262,389.38

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Solution

The third proportional to 174,957.75 and 262,389.38 is: 393,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,957.75 : 262,389.38 = 262,389.38 : x
  2. Step 2: Convert to fraction form
    174,957.75/262,389.38 = 262,389.38/x
  3. Step 3: Cross multiply
    174,957.75x = 262,389.38 × 262,389.38
  4. Step 4: Simplify right side
    174,957.75x = 68,848,184,112.89
  5. Step 5: Solve for x
    x = 68,848,184,112.89/174,957.75
  6. Step 6: Final answer
    x = 393,513.20

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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.