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Finding the Third Proportional to 184,230 and 399,564

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Solution

The third proportional to 184,230 and 399,564 is: 866,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,230 : 399,564 = 399,564 : x
  2. Step 2: Convert to fraction form
    184,230/399,564 = 399,564/x
  3. Step 3: Cross multiply
    184,230x = 399,564 × 399,564
  4. Step 4: Simplify right side
    184,230x = 159,651,390,096
  5. Step 5: Solve for x
    x = 159,651,390,096/184,230
  6. Step 6: Final answer
    x = 866,587.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.