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Finding the Third Proportional to 195,838 and 264,232

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Solution

The third proportional to 195,838 and 264,232 is: 356,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,838 : 264,232 = 264,232 : x
  2. Step 2: Convert to fraction form
    195,838/264,232 = 264,232/x
  3. Step 3: Cross multiply
    195,838x = 264,232 × 264,232
  4. Step 4: Simplify right side
    195,838x = 69,818,549,824
  5. Step 5: Solve for x
    x = 69,818,549,824/195,838
  6. Step 6: Final answer
    x = 356,511.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.