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Finding the Third Proportional to 195,230 and 427,852

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Solution

The third proportional to 195,230 and 427,852 is: 937,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,230 : 427,852 = 427,852 : x
  2. Step 2: Convert to fraction form
    195,230/427,852 = 427,852/x
  3. Step 3: Cross multiply
    195,230x = 427,852 × 427,852
  4. Step 4: Simplify right side
    195,230x = 183,057,333,904
  5. Step 5: Solve for x
    x = 183,057,333,904/195,230
  6. Step 6: Final answer
    x = 937,649.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.