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Finding the Third Proportional to 130,212 and 282,573

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Solution

The third proportional to 130,212 and 282,573 is: 613,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,212 : 282,573 = 282,573 : x
  2. Step 2: Convert to fraction form
    130,212/282,573 = 282,573/x
  3. Step 3: Cross multiply
    130,212x = 282,573 × 282,573
  4. Step 4: Simplify right side
    130,212x = 79,847,500,329
  5. Step 5: Solve for x
    x = 79,847,500,329/130,212
  6. Step 6: Final answer
    x = 613,211.53

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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.