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Finding the Third Proportional to 193,402 and 295,660

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Solution

The third proportional to 193,402 and 295,660 is: 451,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,402 : 295,660 = 295,660 : x
  2. Step 2: Convert to fraction form
    193,402/295,660 = 295,660/x
  3. Step 3: Cross multiply
    193,402x = 295,660 × 295,660
  4. Step 4: Simplify right side
    193,402x = 87,414,835,600
  5. Step 5: Solve for x
    x = 87,414,835,600/193,402
  6. Step 6: Final answer
    x = 451,985.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.