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Finding the Third Proportional to 181,114.50 and 395,884.50

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Solution

The third proportional to 181,114.50 and 395,884.50 is: 865,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,114.50 : 395,884.50 = 395,884.50 : x
  2. Step 2: Convert to fraction form
    181,114.50/395,884.50 = 395,884.50/x
  3. Step 3: Cross multiply
    181,114.50x = 395,884.50 × 395,884.50
  4. Step 4: Simplify right side
    181,114.50x = 156,724,537,340.25
  5. Step 5: Solve for x
    x = 156,724,537,340.25/181,114.50
  6. Step 6: Final answer
    x = 865,334.01

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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.