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Finding the Third Proportional to 211,724 and 300,948

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Solution

The third proportional to 211,724 and 300,948 is: 427,772.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,724 : 300,948 = 300,948 : x
  2. Step 2: Convert to fraction form
    211,724/300,948 = 300,948/x
  3. Step 3: Cross multiply
    211,724x = 300,948 × 300,948
  4. Step 4: Simplify right side
    211,724x = 90,569,698,704
  5. Step 5: Solve for x
    x = 90,569,698,704/211,724
  6. Step 6: Final answer
    x = 427,772.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.