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Finding the Third Proportional to 85,718 and 191,308

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Solution

The third proportional to 85,718 and 191,308 is: 426,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,718 : 191,308 = 191,308 : x
  2. Step 2: Convert to fraction form
    85,718/191,308 = 191,308/x
  3. Step 3: Cross multiply
    85,718x = 191,308 × 191,308
  4. Step 4: Simplify right side
    85,718x = 36,598,750,864
  5. Step 5: Solve for x
    x = 36,598,750,864/85,718
  6. Step 6: Final answer
    x = 426,966.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.