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Finding the Third Proportional to 212,872.50 and 327,298.50

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Solution

The third proportional to 212,872.50 and 327,298.50 is: 503,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,872.50 : 327,298.50 = 327,298.50 : x
  2. Step 2: Convert to fraction form
    212,872.50/327,298.50 = 327,298.50/x
  3. Step 3: Cross multiply
    212,872.50x = 327,298.50 × 327,298.50
  4. Step 4: Simplify right side
    212,872.50x = 107,124,308,102.25
  5. Step 5: Solve for x
    x = 107,124,308,102.25/212,872.50
  6. Step 6: Final answer
    x = 503,232.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.