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Finding the Third Proportional to 193,710 and 259,810

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Solution

The third proportional to 193,710 and 259,810 is: 348,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,710 : 259,810 = 259,810 : x
  2. Step 2: Convert to fraction form
    193,710/259,810 = 259,810/x
  3. Step 3: Cross multiply
    193,710x = 259,810 × 259,810
  4. Step 4: Simplify right side
    193,710x = 67,501,236,100
  5. Step 5: Solve for x
    x = 67,501,236,100/193,710
  6. Step 6: Final answer
    x = 348,465.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.