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Finding the Third Proportional to 184,588 and 242,380

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Solution

The third proportional to 184,588 and 242,380 is: 318,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,588 : 242,380 = 242,380 : x
  2. Step 2: Convert to fraction form
    184,588/242,380 = 242,380/x
  3. Step 3: Cross multiply
    184,588x = 242,380 × 242,380
  4. Step 4: Simplify right side
    184,588x = 58,748,064,400
  5. Step 5: Solve for x
    x = 58,748,064,400/184,588
  6. Step 6: Final answer
    x = 318,265.89

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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.