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Finding the Third Proportional to 195,610 and 412,236.25

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Solution

The third proportional to 195,610 and 412,236.25 is: 868,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,610 : 412,236.25 = 412,236.25 : x
  2. Step 2: Convert to fraction form
    195,610/412,236.25 = 412,236.25/x
  3. Step 3: Cross multiply
    195,610x = 412,236.25 × 412,236.25
  4. Step 4: Simplify right side
    195,610x = 169,938,725,814.06
  5. Step 5: Solve for x
    x = 169,938,725,814.06/195,610
  6. Step 6: Final answer
    x = 868,762.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.