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Finding the Third Proportional to 188,274 and 293,526

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Solution

The third proportional to 188,274 and 293,526 is: 457,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,274 : 293,526 = 293,526 : x
  2. Step 2: Convert to fraction form
    188,274/293,526 = 293,526/x
  3. Step 3: Cross multiply
    188,274x = 293,526 × 293,526
  4. Step 4: Simplify right side
    188,274x = 86,157,512,676
  5. Step 5: Solve for x
    x = 86,157,512,676/188,274
  6. Step 6: Final answer
    x = 457,617.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.