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Finding the Third Proportional to 215,288 and 336,014

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Solution

The third proportional to 215,288 and 336,014 is: 524,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,288 : 336,014 = 336,014 : x
  2. Step 2: Convert to fraction form
    215,288/336,014 = 336,014/x
  3. Step 3: Cross multiply
    215,288x = 336,014 × 336,014
  4. Step 4: Simplify right side
    215,288x = 112,905,408,196
  5. Step 5: Solve for x
    x = 112,905,408,196/215,288
  6. Step 6: Final answer
    x = 524,438.93

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Why These Related Problems?

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