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Finding the Third Proportional to 183,816 and 375,396

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Solution

The third proportional to 183,816 and 375,396 is: 766,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,816 : 375,396 = 375,396 : x
  2. Step 2: Convert to fraction form
    183,816/375,396 = 375,396/x
  3. Step 3: Cross multiply
    183,816x = 375,396 × 375,396
  4. Step 4: Simplify right side
    183,816x = 140,922,156,816
  5. Step 5: Solve for x
    x = 140,922,156,816/183,816
  6. Step 6: Final answer
    x = 766,647.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.