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Finding the Third Proportional to 183,791 and 414,968

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Solution

The third proportional to 183,791 and 414,968 is: 936,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,791 : 414,968 = 414,968 : x
  2. Step 2: Convert to fraction form
    183,791/414,968 = 414,968/x
  3. Step 3: Cross multiply
    183,791x = 414,968 × 414,968
  4. Step 4: Simplify right side
    183,791x = 172,198,441,024
  5. Step 5: Solve for x
    x = 172,198,441,024/183,791
  6. Step 6: Final answer
    x = 936,925.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.