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Finding the Third Proportional to 231,120 and 355,090.50

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Solution

The third proportional to 231,120 and 355,090.50 is: 545,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,120 : 355,090.50 = 355,090.50 : x
  2. Step 2: Convert to fraction form
    231,120/355,090.50 = 355,090.50/x
  3. Step 3: Cross multiply
    231,120x = 355,090.50 × 355,090.50
  4. Step 4: Simplify right side
    231,120x = 126,089,263,190.25
  5. Step 5: Solve for x
    x = 126,089,263,190.25/231,120
  6. Step 6: Final answer
    x = 545,557.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.