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Finding the Third Proportional to 208,365 and 449,184

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Solution

The third proportional to 208,365 and 449,184 is: 968,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,365 : 449,184 = 449,184 : x
  2. Step 2: Convert to fraction form
    208,365/449,184 = 449,184/x
  3. Step 3: Cross multiply
    208,365x = 449,184 × 449,184
  4. Step 4: Simplify right side
    208,365x = 201,766,265,856
  5. Step 5: Solve for x
    x = 201,766,265,856/208,365
  6. Step 6: Final answer
    x = 968,330.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.