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Finding the Third Proportional to 184,556 and 242,337

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Solution

The third proportional to 184,556 and 242,337 is: 318,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,556 : 242,337 = 242,337 : x
  2. Step 2: Convert to fraction form
    184,556/242,337 = 242,337/x
  3. Step 3: Cross multiply
    184,556x = 242,337 × 242,337
  4. Step 4: Simplify right side
    184,556x = 58,727,221,569
  5. Step 5: Solve for x
    x = 58,727,221,569/184,556
  6. Step 6: Final answer
    x = 318,208.14

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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.