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Finding the Third Proportional to 84,246 and 184,332

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Solution

The third proportional to 84,246 and 184,332 is: 403,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,246 : 184,332 = 184,332 : x
  2. Step 2: Convert to fraction form
    84,246/184,332 = 184,332/x
  3. Step 3: Cross multiply
    84,246x = 184,332 × 184,332
  4. Step 4: Simplify right side
    84,246x = 33,978,286,224
  5. Step 5: Solve for x
    x = 33,978,286,224/84,246
  6. Step 6: Final answer
    x = 403,322.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.