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Finding the Third Proportional to 145,167 and 296,166

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Solution

The third proportional to 145,167 and 296,166 is: 604,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,167 : 296,166 = 296,166 : x
  2. Step 2: Convert to fraction form
    145,167/296,166 = 296,166/x
  3. Step 3: Cross multiply
    145,167x = 296,166 × 296,166
  4. Step 4: Simplify right side
    145,167x = 87,714,299,556
  5. Step 5: Solve for x
    x = 87,714,299,556/145,167
  6. Step 6: Final answer
    x = 604,230.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.