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Finding the Third Proportional to 211,850 and 296,907

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Solution

The third proportional to 211,850 and 296,907 is: 416,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,850 : 296,907 = 296,907 : x
  2. Step 2: Convert to fraction form
    211,850/296,907 = 296,907/x
  3. Step 3: Cross multiply
    211,850x = 296,907 × 296,907
  4. Step 4: Simplify right side
    211,850x = 88,153,766,649
  5. Step 5: Solve for x
    x = 88,153,766,649/211,850
  6. Step 6: Final answer
    x = 416,114.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.