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Finding the Third Proportional to 208,473 and 455,175

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Solution

The third proportional to 208,473 and 455,175 is: 993,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,473 : 455,175 = 455,175 : x
  2. Step 2: Convert to fraction form
    208,473/455,175 = 455,175/x
  3. Step 3: Cross multiply
    208,473x = 455,175 × 455,175
  4. Step 4: Simplify right side
    208,473x = 207,184,280,625
  5. Step 5: Solve for x
    x = 207,184,280,625/208,473
  6. Step 6: Final answer
    x = 993,818.29

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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.