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Finding the Third Proportional to 181,059 and 265,108.50

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Solution

The third proportional to 181,059 and 265,108.50 is: 388,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,059 : 265,108.50 = 265,108.50 : x
  2. Step 2: Convert to fraction form
    181,059/265,108.50 = 265,108.50/x
  3. Step 3: Cross multiply
    181,059x = 265,108.50 × 265,108.50
  4. Step 4: Simplify right side
    181,059x = 70,282,516,772.25
  5. Step 5: Solve for x
    x = 70,282,516,772.25/181,059
  6. Step 6: Final answer
    x = 388,174.67

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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.