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Finding the Third Proportional to 174,883.50 and 383,107.50

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Solution

The third proportional to 174,883.50 and 383,107.50 is: 839,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,883.50 : 383,107.50 = 383,107.50 : x
  2. Step 2: Convert to fraction form
    174,883.50/383,107.50 = 383,107.50/x
  3. Step 3: Cross multiply
    174,883.50x = 383,107.50 × 383,107.50
  4. Step 4: Simplify right side
    174,883.50x = 146,771,356,556.25
  5. Step 5: Solve for x
    x = 146,771,356,556.25/174,883.50
  6. Step 6: Final answer
    x = 839,252.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.