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Finding the Third Proportional to 215,292 and 336,018

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Solution

The third proportional to 215,292 and 336,018 is: 524,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,292 : 336,018 = 336,018 : x
  2. Step 2: Convert to fraction form
    215,292/336,018 = 336,018/x
  3. Step 3: Cross multiply
    215,292x = 336,018 × 336,018
  4. Step 4: Simplify right side
    215,292x = 112,908,096,324
  5. Step 5: Solve for x
    x = 112,908,096,324/215,292
  6. Step 6: Final answer
    x = 524,441.67

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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.