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Finding the Third Proportional to 184,284 and 277,724.25

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Solution

The third proportional to 184,284 and 277,724.25 is: 418,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,284 : 277,724.25 = 277,724.25 : x
  2. Step 2: Convert to fraction form
    184,284/277,724.25 = 277,724.25/x
  3. Step 3: Cross multiply
    184,284x = 277,724.25 × 277,724.25
  4. Step 4: Simplify right side
    184,284x = 77,130,759,038.06
  5. Step 5: Solve for x
    x = 77,130,759,038.06/184,284
  6. Step 6: Final answer
    x = 418,542.90

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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.