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Finding the Third Proportional to 208,318 and 446,158

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Solution

The third proportional to 208,318 and 446,158 is: 955,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,318 : 446,158 = 446,158 : x
  2. Step 2: Convert to fraction form
    208,318/446,158 = 446,158/x
  3. Step 3: Cross multiply
    208,318x = 446,158 × 446,158
  4. Step 4: Simplify right side
    208,318x = 199,056,960,964
  5. Step 5: Solve for x
    x = 199,056,960,964/208,318
  6. Step 6: Final answer
    x = 955,543.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.