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Finding the Third Proportional to 115,434.50 and 184,411

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Solution

The third proportional to 115,434.50 and 184,411 is: 294,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,434.50 : 184,411 = 184,411 : x
  2. Step 2: Convert to fraction form
    115,434.50/184,411 = 184,411/x
  3. Step 3: Cross multiply
    115,434.50x = 184,411 × 184,411
  4. Step 4: Simplify right side
    115,434.50x = 34,007,416,921
  5. Step 5: Solve for x
    x = 34,007,416,921/115,434.50
  6. Step 6: Final answer
    x = 294,603.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.