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Finding the Third Proportional to 169,725.50 and 353,396

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Solution

The third proportional to 169,725.50 and 353,396 is: 735,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,725.50 : 353,396 = 353,396 : x
  2. Step 2: Convert to fraction form
    169,725.50/353,396 = 353,396/x
  3. Step 3: Cross multiply
    169,725.50x = 353,396 × 353,396
  4. Step 4: Simplify right side
    169,725.50x = 124,888,732,816
  5. Step 5: Solve for x
    x = 124,888,732,816/169,725.50
  6. Step 6: Final answer
    x = 735,827.75

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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.