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Finding the Third Proportional to 169,423.50 and 352,893

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Solution

The third proportional to 169,423.50 and 352,893 is: 735,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,423.50 : 352,893 = 352,893 : x
  2. Step 2: Convert to fraction form
    169,423.50/352,893 = 352,893/x
  3. Step 3: Cross multiply
    169,423.50x = 352,893 × 352,893
  4. Step 4: Simplify right side
    169,423.50x = 124,533,469,449
  5. Step 5: Solve for x
    x = 124,533,469,449/169,423.50
  6. Step 6: Final answer
    x = 735,042.48

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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.