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Finding the Third Proportional to 350,145 and 540,745.50

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Solution

The third proportional to 350,145 and 540,745.50 is: 835,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,145 : 540,745.50 = 540,745.50 : x
  2. Step 2: Convert to fraction form
    350,145/540,745.50 = 540,745.50/x
  3. Step 3: Cross multiply
    350,145x = 540,745.50 × 540,745.50
  4. Step 4: Simplify right side
    350,145x = 292,405,695,770.25
  5. Step 5: Solve for x
    x = 292,405,695,770.25/350,145
  6. Step 6: Final answer
    x = 835,098.88

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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.