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Finding the Third Proportional to 226,024 and 350,196

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Solution

The third proportional to 226,024 and 350,196 is: 542,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,024 : 350,196 = 350,196 : x
  2. Step 2: Convert to fraction form
    226,024/350,196 = 350,196/x
  3. Step 3: Cross multiply
    226,024x = 350,196 × 350,196
  4. Step 4: Simplify right side
    226,024x = 122,637,238,416
  5. Step 5: Solve for x
    x = 122,637,238,416/226,024
  6. Step 6: Final answer
    x = 542,585.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.