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Finding the Third Proportional to 211,176 and 455,616

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Solution

The third proportional to 211,176 and 455,616 is: 982,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,176 : 455,616 = 455,616 : x
  2. Step 2: Convert to fraction form
    211,176/455,616 = 455,616/x
  3. Step 3: Cross multiply
    211,176x = 455,616 × 455,616
  4. Step 4: Simplify right side
    211,176x = 207,585,939,456
  5. Step 5: Solve for x
    x = 207,585,939,456/211,176
  6. Step 6: Final answer
    x = 982,999.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.