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Finding the Third Proportional to 174,782.25 and 382,912.50

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Solution

The third proportional to 174,782.25 and 382,912.50 is: 838,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,782.25 : 382,912.50 = 382,912.50 : x
  2. Step 2: Convert to fraction form
    174,782.25/382,912.50 = 382,912.50/x
  3. Step 3: Cross multiply
    174,782.25x = 382,912.50 × 382,912.50
  4. Step 4: Simplify right side
    174,782.25x = 146,621,982,656.25
  5. Step 5: Solve for x
    x = 146,621,982,656.25/174,782.25
  6. Step 6: Final answer
    x = 838,883.71

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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.