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Finding the Third Proportional to 212,023.50 and 327,877.50

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Solution

The third proportional to 212,023.50 and 327,877.50 is: 507,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,023.50 : 327,877.50 = 327,877.50 : x
  2. Step 2: Convert to fraction form
    212,023.50/327,877.50 = 327,877.50/x
  3. Step 3: Cross multiply
    212,023.50x = 327,877.50 × 327,877.50
  4. Step 4: Simplify right side
    212,023.50x = 107,503,655,006.25
  5. Step 5: Solve for x
    x = 107,503,655,006.25/212,023.50
  6. Step 6: Final answer
    x = 507,036.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.