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Finding the Third Proportional to 161,148 and 353,400

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Solution

The third proportional to 161,148 and 353,400 is: 775,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,148 : 353,400 = 353,400 : x
  2. Step 2: Convert to fraction form
    161,148/353,400 = 353,400/x
  3. Step 3: Cross multiply
    161,148x = 353,400 × 353,400
  4. Step 4: Simplify right side
    161,148x = 124,891,560,000
  5. Step 5: Solve for x
    x = 124,891,560,000/161,148
  6. Step 6: Final answer
    x = 775,011.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.