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Finding the Third Proportional to 88,349 and 184,155

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Solution

The third proportional to 88,349 and 184,155 is: 383,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,349 : 184,155 = 184,155 : x
  2. Step 2: Convert to fraction form
    88,349/184,155 = 184,155/x
  3. Step 3: Cross multiply
    88,349x = 184,155 × 184,155
  4. Step 4: Simplify right side
    88,349x = 33,913,064,025
  5. Step 5: Solve for x
    x = 33,913,064,025/88,349
  6. Step 6: Final answer
    x = 383,853.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.