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Finding the Third Proportional to 195,804 and 417,210

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Solution

The third proportional to 195,804 and 417,210 is: 888,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,804 : 417,210 = 417,210 : x
  2. Step 2: Convert to fraction form
    195,804/417,210 = 417,210/x
  3. Step 3: Cross multiply
    195,804x = 417,210 × 417,210
  4. Step 4: Simplify right side
    195,804x = 174,064,184,100
  5. Step 5: Solve for x
    x = 174,064,184,100/195,804
  6. Step 6: Final answer
    x = 888,971.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.