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Finding the Third Proportional to 213,718.50 and 451,575

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Solution

The third proportional to 213,718.50 and 451,575 is: 954,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,718.50 : 451,575 = 451,575 : x
  2. Step 2: Convert to fraction form
    213,718.50/451,575 = 451,575/x
  3. Step 3: Cross multiply
    213,718.50x = 451,575 × 451,575
  4. Step 4: Simplify right side
    213,718.50x = 203,919,980,625
  5. Step 5: Solve for x
    x = 203,919,980,625/213,718.50
  6. Step 6: Final answer
    x = 954,152.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.