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Finding the Third Proportional to 181,576 and 265,771.50

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Solution

The third proportional to 181,576 and 265,771.50 is: 389,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,576 : 265,771.50 = 265,771.50 : x
  2. Step 2: Convert to fraction form
    181,576/265,771.50 = 265,771.50/x
  3. Step 3: Cross multiply
    181,576x = 265,771.50 × 265,771.50
  4. Step 4: Simplify right side
    181,576x = 70,634,490,212.25
  5. Step 5: Solve for x
    x = 70,634,490,212.25/181,576
  6. Step 6: Final answer
    x = 389,007.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.