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Finding the Third Proportional to 235,989 and 353,916

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Solution

The third proportional to 235,989 and 353,916 is: 530,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,989 : 353,916 = 353,916 : x
  2. Step 2: Convert to fraction form
    235,989/353,916 = 353,916/x
  3. Step 3: Cross multiply
    235,989x = 353,916 × 353,916
  4. Step 4: Simplify right side
    235,989x = 125,256,535,056
  5. Step 5: Solve for x
    x = 125,256,535,056/235,989
  6. Step 6: Final answer
    x = 530,772.77

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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.