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Finding the Third Proportional to 201,230 and 426,444

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Solution

The third proportional to 201,230 and 426,444 is: 903,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,230 : 426,444 = 426,444 : x
  2. Step 2: Convert to fraction form
    201,230/426,444 = 426,444/x
  3. Step 3: Cross multiply
    201,230x = 426,444 × 426,444
  4. Step 4: Simplify right side
    201,230x = 181,854,485,136
  5. Step 5: Solve for x
    x = 181,854,485,136/201,230
  6. Step 6: Final answer
    x = 903,714.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.