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Finding the Third Proportional to 192,521.50 and 299,254.25

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Solution

The third proportional to 192,521.50 and 299,254.25 is: 465,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,521.50 : 299,254.25 = 299,254.25 : x
  2. Step 2: Convert to fraction form
    192,521.50/299,254.25 = 299,254.25/x
  3. Step 3: Cross multiply
    192,521.50x = 299,254.25 × 299,254.25
  4. Step 4: Simplify right side
    192,521.50x = 89,553,106,143.06
  5. Step 5: Solve for x
    x = 89,553,106,143.06/192,521.50
  6. Step 6: Final answer
    x = 465,158.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.