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Finding the Third Proportional to 199,509.75 and 293,432.63

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Solution

The third proportional to 199,509.75 and 293,432.63 is: 431,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,509.75 : 293,432.63 = 293,432.63 : x
  2. Step 2: Convert to fraction form
    199,509.75/293,432.63 = 293,432.63/x
  3. Step 3: Cross multiply
    199,509.75x = 293,432.63 × 293,432.63
  4. Step 4: Simplify right side
    199,509.75x = 86,102,705,414.39
  5. Step 5: Solve for x
    x = 86,102,705,414.39/199,509.75
  6. Step 6: Final answer
    x = 431,571.42

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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.