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Finding the Third Proportional to 181,217.25 and 388,678.50

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Solution

The third proportional to 181,217.25 and 388,678.50 is: 833,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,217.25 : 388,678.50 = 388,678.50 : x
  2. Step 2: Convert to fraction form
    181,217.25/388,678.50 = 388,678.50/x
  3. Step 3: Cross multiply
    181,217.25x = 388,678.50 × 388,678.50
  4. Step 4: Simplify right side
    181,217.25x = 151,070,976,362.25
  5. Step 5: Solve for x
    x = 151,070,976,362.25/181,217.25
  6. Step 6: Final answer
    x = 833,645.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.