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Finding the Third Proportional to 195,804 and 301,491

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Solution

The third proportional to 195,804 and 301,491 is: 464,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,804 : 301,491 = 301,491 : x
  2. Step 2: Convert to fraction form
    195,804/301,491 = 301,491/x
  3. Step 3: Cross multiply
    195,804x = 301,491 × 301,491
  4. Step 4: Simplify right side
    195,804x = 90,896,823,081
  5. Step 5: Solve for x
    x = 90,896,823,081/195,804
  6. Step 6: Final answer
    x = 464,223.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.