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Finding the Third Proportional to 184,590 and 242,383

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Solution

The third proportional to 184,590 and 242,383 is: 318,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,590 : 242,383 = 242,383 : x
  2. Step 2: Convert to fraction form
    184,590/242,383 = 242,383/x
  3. Step 3: Cross multiply
    184,590x = 242,383 × 242,383
  4. Step 4: Simplify right side
    184,590x = 58,749,518,689
  5. Step 5: Solve for x
    x = 58,749,518,689/184,590
  6. Step 6: Final answer
    x = 318,270.32

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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.