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Finding the Third Proportional to 193,526 and 293,206

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Solution

The third proportional to 193,526 and 293,206 is: 444,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,526 : 293,206 = 293,206 : x
  2. Step 2: Convert to fraction form
    193,526/293,206 = 293,206/x
  3. Step 3: Cross multiply
    193,526x = 293,206 × 293,206
  4. Step 4: Simplify right side
    193,526x = 85,969,758,436
  5. Step 5: Solve for x
    x = 85,969,758,436/193,526
  6. Step 6: Final answer
    x = 444,228.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.