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Finding the Third Proportional to 183,174.75 and 232,843.50

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Solution

The third proportional to 183,174.75 and 232,843.50 is: 295,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,174.75 : 232,843.50 = 232,843.50 : x
  2. Step 2: Convert to fraction form
    183,174.75/232,843.50 = 232,843.50/x
  3. Step 3: Cross multiply
    183,174.75x = 232,843.50 × 232,843.50
  4. Step 4: Simplify right side
    183,174.75x = 54,216,095,492.25
  5. Step 5: Solve for x
    x = 54,216,095,492.25/183,174.75
  6. Step 6: Final answer
    x = 295,980.18

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.