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Finding the Third Proportional to 184,604.06 and 276,598.55

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Solution

The third proportional to 184,604.06 and 276,598.55 is: 414,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,604.06 : 276,598.55 = 276,598.55 : x
  2. Step 2: Convert to fraction form
    184,604.06/276,598.55 = 276,598.55/x
  3. Step 3: Cross multiply
    184,604.06x = 276,598.55 × 276,598.55
  4. Step 4: Simplify right side
    184,604.06x = 76,506,756,133.36
  5. Step 5: Solve for x
    x = 76,506,756,133.36/184,604.06
  6. Step 6: Final answer
    x = 414,437.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.