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Finding the Third Proportional to 88,342 and 189,308

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Solution

The third proportional to 88,342 and 189,308 is: 405,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,342 : 189,308 = 189,308 : x
  2. Step 2: Convert to fraction form
    88,342/189,308 = 189,308/x
  3. Step 3: Cross multiply
    88,342x = 189,308 × 189,308
  4. Step 4: Simplify right side
    88,342x = 35,837,518,864
  5. Step 5: Solve for x
    x = 35,837,518,864/88,342
  6. Step 6: Final answer
    x = 405,667.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.