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Finding the Third Proportional to 210,170 and 289,005

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Solution

The third proportional to 210,170 and 289,005 is: 397,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,170 : 289,005 = 289,005 : x
  2. Step 2: Convert to fraction form
    210,170/289,005 = 289,005/x
  3. Step 3: Cross multiply
    210,170x = 289,005 × 289,005
  4. Step 4: Simplify right side
    210,170x = 83,523,890,025
  5. Step 5: Solve for x
    x = 83,523,890,025/210,170
  6. Step 6: Final answer
    x = 397,411.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.