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Finding the Third Proportional to 195,253 and 426,308

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Solution

The third proportional to 195,253 and 426,308 is: 930,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,253 : 426,308 = 426,308 : x
  2. Step 2: Convert to fraction form
    195,253/426,308 = 426,308/x
  3. Step 3: Cross multiply
    195,253x = 426,308 × 426,308
  4. Step 4: Simplify right side
    195,253x = 181,738,510,864
  5. Step 5: Solve for x
    x = 181,738,510,864/195,253
  6. Step 6: Final answer
    x = 930,784.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.