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Finding the Third Proportional to 181,923 and 260,506.50

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Solution

The third proportional to 181,923 and 260,506.50 is: 373,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,923 : 260,506.50 = 260,506.50 : x
  2. Step 2: Convert to fraction form
    181,923/260,506.50 = 260,506.50/x
  3. Step 3: Cross multiply
    181,923x = 260,506.50 × 260,506.50
  4. Step 4: Simplify right side
    181,923x = 67,863,636,542.25
  5. Step 5: Solve for x
    x = 67,863,636,542.25/181,923
  6. Step 6: Final answer
    x = 373,034.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.