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Finding the Third Proportional to 252,381 and 540,230.25

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Solution

The third proportional to 252,381 and 540,230.25 is: 1,156,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,381 : 540,230.25 = 540,230.25 : x
  2. Step 2: Convert to fraction form
    252,381/540,230.25 = 540,230.25/x
  3. Step 3: Cross multiply
    252,381x = 540,230.25 × 540,230.25
  4. Step 4: Simplify right side
    252,381x = 291,848,723,015.06
  5. Step 5: Solve for x
    x = 291,848,723,015.06/252,381
  6. Step 6: Final answer
    x = 1,156,381.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.