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Finding the Third Proportional to 184,153.50 and 273,294

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Solution

The third proportional to 184,153.50 and 273,294 is: 405,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,153.50 : 273,294 = 273,294 : x
  2. Step 2: Convert to fraction form
    184,153.50/273,294 = 273,294/x
  3. Step 3: Cross multiply
    184,153.50x = 273,294 × 273,294
  4. Step 4: Simplify right side
    184,153.50x = 74,689,610,436
  5. Step 5: Solve for x
    x = 74,689,610,436/184,153.50
  6. Step 6: Final answer
    x = 405,583.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.