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Finding the Third Proportional to 181,203 and 368,420.50

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Solution

The third proportional to 181,203 and 368,420.50 is: 749,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,203 : 368,420.50 = 368,420.50 : x
  2. Step 2: Convert to fraction form
    181,203/368,420.50 = 368,420.50/x
  3. Step 3: Cross multiply
    181,203x = 368,420.50 × 368,420.50
  4. Step 4: Simplify right side
    181,203x = 135,733,664,820.25
  5. Step 5: Solve for x
    x = 135,733,664,820.25/181,203
  6. Step 6: Final answer
    x = 749,069.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.