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Finding the Third Proportional to 80,868.75 and 175,482.75

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Solution

The third proportional to 80,868.75 and 175,482.75 is: 380,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,868.75 : 175,482.75 = 175,482.75 : x
  2. Step 2: Convert to fraction form
    80,868.75/175,482.75 = 175,482.75/x
  3. Step 3: Cross multiply
    80,868.75x = 175,482.75 × 175,482.75
  4. Step 4: Simplify right side
    80,868.75x = 30,794,195,547.56
  5. Step 5: Solve for x
    x = 30,794,195,547.56/80,868.75
  6. Step 6: Final answer
    x = 380,792.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.