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Finding the Third Proportional to 215,286 and 336,010.50

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Solution

The third proportional to 215,286 and 336,010.50 is: 524,432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,286 : 336,010.50 = 336,010.50 : x
  2. Step 2: Convert to fraction form
    215,286/336,010.50 = 336,010.50/x
  3. Step 3: Cross multiply
    215,286x = 336,010.50 × 336,010.50
  4. Step 4: Simplify right side
    215,286x = 112,903,056,110.25
  5. Step 5: Solve for x
    x = 112,903,056,110.25/215,286
  6. Step 6: Final answer
    x = 524,432.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.