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Finding the Third Proportional to 184,554 and 242,334

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Solution

The third proportional to 184,554 and 242,334 is: 318,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,554 : 242,334 = 242,334 : x
  2. Step 2: Convert to fraction form
    184,554/242,334 = 242,334/x
  3. Step 3: Cross multiply
    184,554x = 242,334 × 242,334
  4. Step 4: Simplify right side
    184,554x = 58,725,767,556
  5. Step 5: Solve for x
    x = 58,725,767,556/184,554
  6. Step 6: Final answer
    x = 318,203.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.