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Finding the Third Proportional to 188,010 and 410,319

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Solution

The third proportional to 188,010 and 410,319 is: 895,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,010 : 410,319 = 410,319 : x
  2. Step 2: Convert to fraction form
    188,010/410,319 = 410,319/x
  3. Step 3: Cross multiply
    188,010x = 410,319 × 410,319
  4. Step 4: Simplify right side
    188,010x = 168,361,681,761
  5. Step 5: Solve for x
    x = 168,361,681,761/188,010
  6. Step 6: Final answer
    x = 895,493.23

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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.