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Finding the Third Proportional to 212,625 and 312,214.50

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Solution

The third proportional to 212,625 and 312,214.50 is: 458,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,625 : 312,214.50 = 312,214.50 : x
  2. Step 2: Convert to fraction form
    212,625/312,214.50 = 312,214.50/x
  3. Step 3: Cross multiply
    212,625x = 312,214.50 × 312,214.50
  4. Step 4: Simplify right side
    212,625x = 97,477,894,010.25
  5. Step 5: Solve for x
    x = 97,477,894,010.25/212,625
  6. Step 6: Final answer
    x = 458,449.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.