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Finding the Third Proportional to 208,184 and 447,944

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Solution

The third proportional to 208,184 and 447,944 is: 963,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,184 : 447,944 = 447,944 : x
  2. Step 2: Convert to fraction form
    208,184/447,944 = 447,944/x
  3. Step 3: Cross multiply
    208,184x = 447,944 × 447,944
  4. Step 4: Simplify right side
    208,184x = 200,653,827,136
  5. Step 5: Solve for x
    x = 200,653,827,136/208,184
  6. Step 6: Final answer
    x = 963,829.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.