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Finding the Third Proportional to 180,942.75 and 266,007

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Solution

The third proportional to 180,942.75 and 266,007 is: 391,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,942.75 : 266,007 = 266,007 : x
  2. Step 2: Convert to fraction form
    180,942.75/266,007 = 266,007/x
  3. Step 3: Cross multiply
    180,942.75x = 266,007 × 266,007
  4. Step 4: Simplify right side
    180,942.75x = 70,759,724,049
  5. Step 5: Solve for x
    x = 70,759,724,049/180,942.75
  6. Step 6: Final answer
    x = 391,061.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.