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Finding the Third Proportional to 194,166.75 and 417,152.25

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Solution

The third proportional to 194,166.75 and 417,152.25 is: 896,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,166.75 : 417,152.25 = 417,152.25 : x
  2. Step 2: Convert to fraction form
    194,166.75/417,152.25 = 417,152.25/x
  3. Step 3: Cross multiply
    194,166.75x = 417,152.25 × 417,152.25
  4. Step 4: Simplify right side
    194,166.75x = 174,015,999,680.06
  5. Step 5: Solve for x
    x = 174,015,999,680.06/194,166.75
  6. Step 6: Final answer
    x = 896,219.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.