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Finding the Third Proportional to 191,616 and 416,388

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Solution

The third proportional to 191,616 and 416,388 is: 904,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,616 : 416,388 = 416,388 : x
  2. Step 2: Convert to fraction form
    191,616/416,388 = 416,388/x
  3. Step 3: Cross multiply
    191,616x = 416,388 × 416,388
  4. Step 4: Simplify right side
    191,616x = 173,378,966,544
  5. Step 5: Solve for x
    x = 173,378,966,544/191,616
  6. Step 6: Final answer
    x = 904,825.10

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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.