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Finding the Third Proportional to 184,280.06 and 277,718.06

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Solution

The third proportional to 184,280.06 and 277,718.06 is: 418,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,280.06 : 277,718.06 = 277,718.06 : x
  2. Step 2: Convert to fraction form
    184,280.06/277,718.06 = 277,718.06/x
  3. Step 3: Cross multiply
    184,280.06x = 277,718.06 × 277,718.06
  4. Step 4: Simplify right side
    184,280.06x = 77,127,322,238.75
  5. Step 5: Solve for x
    x = 77,127,322,238.75/184,280.06
  6. Step 6: Final answer
    x = 418,533.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.