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Finding the Third Proportional to 145,159 and 296,149

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Solution

The third proportional to 145,159 and 296,149 is: 604,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,159 : 296,149 = 296,149 : x
  2. Step 2: Convert to fraction form
    145,159/296,149 = 296,149/x
  3. Step 3: Cross multiply
    145,159x = 296,149 × 296,149
  4. Step 4: Simplify right side
    145,159x = 87,704,230,201
  5. Step 5: Solve for x
    x = 87,704,230,201/145,159
  6. Step 6: Final answer
    x = 604,194.23

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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.