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Finding the Third Proportional to 84,730 and 184,216

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Solution

The third proportional to 84,730 and 184,216 is: 400,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,730 : 184,216 = 184,216 : x
  2. Step 2: Convert to fraction form
    84,730/184,216 = 184,216/x
  3. Step 3: Cross multiply
    84,730x = 184,216 × 184,216
  4. Step 4: Simplify right side
    84,730x = 33,935,534,656
  5. Step 5: Solve for x
    x = 33,935,534,656/84,730
  6. Step 6: Final answer
    x = 400,513.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.