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Finding the Third Proportional to 160,814 and 236,406

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Solution

The third proportional to 160,814 and 236,406 is: 347,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,814 : 236,406 = 236,406 : x
  2. Step 2: Convert to fraction form
    160,814/236,406 = 236,406/x
  3. Step 3: Cross multiply
    160,814x = 236,406 × 236,406
  4. Step 4: Simplify right side
    160,814x = 55,887,796,836
  5. Step 5: Solve for x
    x = 55,887,796,836/160,814
  6. Step 6: Final answer
    x = 347,530.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.