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Finding the Third Proportional to 208,074 and 449,316

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Solution

The third proportional to 208,074 and 449,316 is: 970,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,074 : 449,316 = 449,316 : x
  2. Step 2: Convert to fraction form
    208,074/449,316 = 449,316/x
  3. Step 3: Cross multiply
    208,074x = 449,316 × 449,316
  4. Step 4: Simplify right side
    208,074x = 201,884,867,856
  5. Step 5: Solve for x
    x = 201,884,867,856/208,074
  6. Step 6: Final answer
    x = 970,255.14

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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.