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Finding the Third Proportional to 181,813 and 260,265

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Solution

The third proportional to 181,813 and 260,265 is: 372,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,813 : 260,265 = 260,265 : x
  2. Step 2: Convert to fraction form
    181,813/260,265 = 260,265/x
  3. Step 3: Cross multiply
    181,813x = 260,265 × 260,265
  4. Step 4: Simplify right side
    181,813x = 67,737,870,225
  5. Step 5: Solve for x
    x = 67,737,870,225/181,813
  6. Step 6: Final answer
    x = 372,568.90

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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.