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Finding the Third Proportional to 184,462 and 282,046

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Solution

The third proportional to 184,462 and 282,046 is: 431,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,462 : 282,046 = 282,046 : x
  2. Step 2: Convert to fraction form
    184,462/282,046 = 282,046/x
  3. Step 3: Cross multiply
    184,462x = 282,046 × 282,046
  4. Step 4: Simplify right side
    184,462x = 79,549,946,116
  5. Step 5: Solve for x
    x = 79,549,946,116/184,462
  6. Step 6: Final answer
    x = 431,253.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.