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Finding the Third Proportional to 84,870.76 and 184,338.60

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Solution

The third proportional to 84,870.76 and 184,338.60 is: 400,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,870.76 : 184,338.60 = 184,338.60 : x
  2. Step 2: Convert to fraction form
    84,870.76/184,338.60 = 184,338.60/x
  3. Step 3: Cross multiply
    84,870.76x = 184,338.60 × 184,338.60
  4. Step 4: Simplify right side
    84,870.76x = 33,980,718,585.87
  5. Step 5: Solve for x
    x = 33,980,718,585.87/84,870.76
  6. Step 6: Final answer
    x = 400,381.95

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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.