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Finding the Third Proportional to 188,012 and 410,323

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Solution

The third proportional to 188,012 and 410,323 is: 895,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,012 : 410,323 = 410,323 : x
  2. Step 2: Convert to fraction form
    188,012/410,323 = 410,323/x
  3. Step 3: Cross multiply
    188,012x = 410,323 × 410,323
  4. Step 4: Simplify right side
    188,012x = 168,364,964,329
  5. Step 5: Solve for x
    x = 168,364,964,329/188,012
  6. Step 6: Final answer
    x = 895,501.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.