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Finding the Third Proportional to 169,725.75 and 353,397

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Solution

The third proportional to 169,725.75 and 353,397 is: 735,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,725.75 : 353,397 = 353,397 : x
  2. Step 2: Convert to fraction form
    169,725.75/353,397 = 353,397/x
  3. Step 3: Cross multiply
    169,725.75x = 353,397 × 353,397
  4. Step 4: Simplify right side
    169,725.75x = 124,889,439,609
  5. Step 5: Solve for x
    x = 124,889,439,609/169,725.75
  6. Step 6: Final answer
    x = 735,830.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.