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Finding the Third Proportional to 138,421 and 197,940.25

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Solution

The third proportional to 138,421 and 197,940.25 is: 283,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,421 : 197,940.25 = 197,940.25 : x
  2. Step 2: Convert to fraction form
    138,421/197,940.25 = 197,940.25/x
  3. Step 3: Cross multiply
    138,421x = 197,940.25 × 197,940.25
  4. Step 4: Simplify right side
    138,421x = 39,180,342,570.06
  5. Step 5: Solve for x
    x = 39,180,342,570.06/138,421
  6. Step 6: Final answer
    x = 283,052.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.