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Finding the Third Proportional to 128,301.50 and 184,813

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Solution

The third proportional to 128,301.50 and 184,813 is: 266,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,301.50 : 184,813 = 184,813 : x
  2. Step 2: Convert to fraction form
    128,301.50/184,813 = 184,813/x
  3. Step 3: Cross multiply
    128,301.50x = 184,813 × 184,813
  4. Step 4: Simplify right side
    128,301.50x = 34,155,844,969
  5. Step 5: Solve for x
    x = 34,155,844,969/128,301.50
  6. Step 6: Final answer
    x = 266,215.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.