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Finding the Third Proportional to 208,468 and 455,167

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Solution

The third proportional to 208,468 and 455,167 is: 993,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,468 : 455,167 = 455,167 : x
  2. Step 2: Convert to fraction form
    208,468/455,167 = 455,167/x
  3. Step 3: Cross multiply
    208,468x = 455,167 × 455,167
  4. Step 4: Simplify right side
    208,468x = 207,176,997,889
  5. Step 5: Solve for x
    x = 207,176,997,889/208,468
  6. Step 6: Final answer
    x = 993,807.19

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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.