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Finding the Third Proportional to 130,322 and 195,447

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Solution

The third proportional to 130,322 and 195,447 is: 293,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,322 : 195,447 = 195,447 : x
  2. Step 2: Convert to fraction form
    130,322/195,447 = 195,447/x
  3. Step 3: Cross multiply
    130,322x = 195,447 × 195,447
  4. Step 4: Simplify right side
    130,322x = 38,199,529,809
  5. Step 5: Solve for x
    x = 38,199,529,809/130,322
  6. Step 6: Final answer
    x = 293,116.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.