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Finding the Third Proportional to 229,206 and 350,397

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Solution

The third proportional to 229,206 and 350,397 is: 535,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,206 : 350,397 = 350,397 : x
  2. Step 2: Convert to fraction form
    229,206/350,397 = 350,397/x
  3. Step 3: Cross multiply
    229,206x = 350,397 × 350,397
  4. Step 4: Simplify right side
    229,206x = 122,778,057,609
  5. Step 5: Solve for x
    x = 122,778,057,609/229,206
  6. Step 6: Final answer
    x = 535,666.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.