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Finding the Third Proportional to 192,903.50 and 423,158.50

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Solution

The third proportional to 192,903.50 and 423,158.50 is: 928,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,903.50 : 423,158.50 = 423,158.50 : x
  2. Step 2: Convert to fraction form
    192,903.50/423,158.50 = 423,158.50/x
  3. Step 3: Cross multiply
    192,903.50x = 423,158.50 × 423,158.50
  4. Step 4: Simplify right side
    192,903.50x = 179,063,116,122.25
  5. Step 5: Solve for x
    x = 179,063,116,122.25/192,903.50
  6. Step 6: Final answer
    x = 928,252.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.