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Finding the Third Proportional to 184,262 and 390,668

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Solution

The third proportional to 184,262 and 390,668 is: 828,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,262 : 390,668 = 390,668 : x
  2. Step 2: Convert to fraction form
    184,262/390,668 = 390,668/x
  3. Step 3: Cross multiply
    184,262x = 390,668 × 390,668
  4. Step 4: Simplify right side
    184,262x = 152,621,486,224
  5. Step 5: Solve for x
    x = 152,621,486,224/184,262
  6. Step 6: Final answer
    x = 828,285.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.