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Finding the Third Proportional to 130,628 and 195,436

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Solution

The third proportional to 130,628 and 195,436 is: 292,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,628 : 195,436 = 195,436 : x
  2. Step 2: Convert to fraction form
    130,628/195,436 = 195,436/x
  3. Step 3: Cross multiply
    130,628x = 195,436 × 195,436
  4. Step 4: Simplify right side
    130,628x = 38,195,230,096
  5. Step 5: Solve for x
    x = 38,195,230,096/130,628
  6. Step 6: Final answer
    x = 292,396.96

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