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Finding the Third Proportional to 184,549.50 and 289,121

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Solution

The third proportional to 184,549.50 and 289,121 is: 452,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,549.50 : 289,121 = 289,121 : x
  2. Step 2: Convert to fraction form
    184,549.50/289,121 = 289,121/x
  3. Step 3: Cross multiply
    184,549.50x = 289,121 × 289,121
  4. Step 4: Simplify right side
    184,549.50x = 83,590,952,641
  5. Step 5: Solve for x
    x = 83,590,952,641/184,549.50
  6. Step 6: Final answer
    x = 452,945.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.