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Finding the Third Proportional to 204,138 and 306,411.19

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Solution

The third proportional to 204,138 and 306,411.19 is: 459,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,138 : 306,411.19 = 306,411.19 : x
  2. Step 2: Convert to fraction form
    204,138/306,411.19 = 306,411.19/x
  3. Step 3: Cross multiply
    204,138x = 306,411.19 × 306,411.19
  4. Step 4: Simplify right side
    204,138x = 93,887,815,825.16
  5. Step 5: Solve for x
    x = 93,887,815,825.16/204,138
  6. Step 6: Final answer
    x = 459,923.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.