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Finding the Third Proportional to 184,556 and 390,982

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Solution

The third proportional to 184,556 and 390,982 is: 828,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,556 : 390,982 = 390,982 : x
  2. Step 2: Convert to fraction form
    184,556/390,982 = 390,982/x
  3. Step 3: Cross multiply
    184,556x = 390,982 × 390,982
  4. Step 4: Simplify right side
    184,556x = 152,866,924,324
  5. Step 5: Solve for x
    x = 152,866,924,324/184,556
  6. Step 6: Final answer
    x = 828,295.61

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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.