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Finding the Third Proportional to 212,580 and 451,080

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Solution

The third proportional to 212,580 and 451,080 is: 957,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,580 : 451,080 = 451,080 : x
  2. Step 2: Convert to fraction form
    212,580/451,080 = 451,080/x
  3. Step 3: Cross multiply
    212,580x = 451,080 × 451,080
  4. Step 4: Simplify right side
    212,580x = 203,473,166,400
  5. Step 5: Solve for x
    x = 203,473,166,400/212,580
  6. Step 6: Final answer
    x = 957,160.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.