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Finding the Third Proportional to 86,434 and 184,854

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Solution

The third proportional to 86,434 and 184,854 is: 395,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,434 : 184,854 = 184,854 : x
  2. Step 2: Convert to fraction form
    86,434/184,854 = 184,854/x
  3. Step 3: Cross multiply
    86,434x = 184,854 × 184,854
  4. Step 4: Simplify right side
    86,434x = 34,171,001,316
  5. Step 5: Solve for x
    x = 34,171,001,316/86,434
  6. Step 6: Final answer
    x = 395,342.13

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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.