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Finding the Third Proportional to 184,916.25 and 398,749.50

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Solution

The third proportional to 184,916.25 and 398,749.50 is: 859,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,916.25 : 398,749.50 = 398,749.50 : x
  2. Step 2: Convert to fraction form
    184,916.25/398,749.50 = 398,749.50/x
  3. Step 3: Cross multiply
    184,916.25x = 398,749.50 × 398,749.50
  4. Step 4: Simplify right side
    184,916.25x = 159,001,163,750.25
  5. Step 5: Solve for x
    x = 159,001,163,750.25/184,916.25
  6. Step 6: Final answer
    x = 859,855.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.