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Finding the Third Proportional to 130,628 and 195,435

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Solution

The third proportional to 130,628 and 195,435 is: 292,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,628 : 195,435 = 195,435 : x
  2. Step 2: Convert to fraction form
    130,628/195,435 = 195,435/x
  3. Step 3: Cross multiply
    130,628x = 195,435 × 195,435
  4. Step 4: Simplify right side
    130,628x = 38,194,839,225
  5. Step 5: Solve for x
    x = 38,194,839,225/130,628
  6. Step 6: Final answer
    x = 292,393.97

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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.