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Finding the Third Proportional to 199,641 and 293,619

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Solution

The third proportional to 199,641 and 293,619 is: 431,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,641 : 293,619 = 293,619 : x
  2. Step 2: Convert to fraction form
    199,641/293,619 = 293,619/x
  3. Step 3: Cross multiply
    199,641x = 293,619 × 293,619
  4. Step 4: Simplify right side
    199,641x = 86,212,117,161
  5. Step 5: Solve for x
    x = 86,212,117,161/199,641
  6. Step 6: Final answer
    x = 431,835.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.