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Finding the Third Proportional to 130,628.25 and 195,435.38

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Solution

The third proportional to 130,628.25 and 195,435.38 is: 292,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,628.25 : 195,435.38 = 195,435.38 : x
  2. Step 2: Convert to fraction form
    130,628.25/195,435.38 = 195,435.38/x
  3. Step 3: Cross multiply
    130,628.25x = 195,435.38 × 195,435.38
  4. Step 4: Simplify right side
    130,628.25x = 38,194,985,801.39
  5. Step 5: Solve for x
    x = 38,194,985,801.39/130,628.25
  6. Step 6: Final answer
    x = 292,394.53

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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.