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Finding the Third Proportional to 183,973.50 and 269,903.25

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Solution

The third proportional to 183,973.50 and 269,903.25 is: 395,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,973.50 : 269,903.25 = 269,903.25 : x
  2. Step 2: Convert to fraction form
    183,973.50/269,903.25 = 269,903.25/x
  3. Step 3: Cross multiply
    183,973.50x = 269,903.25 × 269,903.25
  4. Step 4: Simplify right side
    183,973.50x = 72,847,764,360.56
  5. Step 5: Solve for x
    x = 72,847,764,360.56/183,973.50
  6. Step 6: Final answer
    x = 395,968.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.