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Finding the Third Proportional to 210,164 and 451,432

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Solution

The third proportional to 210,164 and 451,432 is: 969,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,164 : 451,432 = 451,432 : x
  2. Step 2: Convert to fraction form
    210,164/451,432 = 451,432/x
  3. Step 3: Cross multiply
    210,164x = 451,432 × 451,432
  4. Step 4: Simplify right side
    210,164x = 203,790,850,624
  5. Step 5: Solve for x
    x = 203,790,850,624/210,164
  6. Step 6: Final answer
    x = 969,675.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.