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Finding the Third Proportional to 129,868.50 and 194,283.75

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Solution

The third proportional to 129,868.50 and 194,283.75 is: 290,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,868.50 : 194,283.75 = 194,283.75 : x
  2. Step 2: Convert to fraction form
    129,868.50/194,283.75 = 194,283.75/x
  3. Step 3: Cross multiply
    129,868.50x = 194,283.75 × 194,283.75
  4. Step 4: Simplify right side
    129,868.50x = 37,746,175,514.06
  5. Step 5: Solve for x
    x = 37,746,175,514.06/129,868.50
  6. Step 6: Final answer
    x = 290,649.20

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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.