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Finding the Third Proportional to 173,623.50 and 352,076.63

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Solution

The third proportional to 173,623.50 and 352,076.63 is: 713,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,623.50 : 352,076.63 = 352,076.63 : x
  2. Step 2: Convert to fraction form
    173,623.50/352,076.63 = 352,076.63/x
  3. Step 3: Cross multiply
    173,623.50x = 352,076.63 × 352,076.63
  4. Step 4: Simplify right side
    173,623.50x = 123,957,949,871.39
  5. Step 5: Solve for x
    x = 123,957,949,871.39/173,623.50
  6. Step 6: Final answer
    x = 713,946.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.