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Finding the Third Proportional to 208,772 and 455,184

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Solution

The third proportional to 208,772 and 455,184 is: 992,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,772 : 455,184 = 455,184 : x
  2. Step 2: Convert to fraction form
    208,772/455,184 = 455,184/x
  3. Step 3: Cross multiply
    208,772x = 455,184 × 455,184
  4. Step 4: Simplify right side
    208,772x = 207,192,473,856
  5. Step 5: Solve for x
    x = 207,192,473,856/208,772
  6. Step 6: Final answer
    x = 992,434.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.