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Finding the Third Proportional to 194,980.50 and 423,292.50

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Solution

The third proportional to 194,980.50 and 423,292.50 is: 918,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,980.50 : 423,292.50 = 423,292.50 : x
  2. Step 2: Convert to fraction form
    194,980.50/423,292.50 = 423,292.50/x
  3. Step 3: Cross multiply
    194,980.50x = 423,292.50 × 423,292.50
  4. Step 4: Simplify right side
    194,980.50x = 179,176,540,556.25
  5. Step 5: Solve for x
    x = 179,176,540,556.25/194,980.50
  6. Step 6: Final answer
    x = 918,945.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.