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Finding the Third Proportional to 191,318 and 417,083

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Solution

The third proportional to 191,318 and 417,083 is: 909,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,318 : 417,083 = 417,083 : x
  2. Step 2: Convert to fraction form
    191,318/417,083 = 417,083/x
  3. Step 3: Cross multiply
    191,318x = 417,083 × 417,083
  4. Step 4: Simplify right side
    191,318x = 173,958,228,889
  5. Step 5: Solve for x
    x = 173,958,228,889/191,318
  6. Step 6: Final answer
    x = 909,262.22

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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.