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Finding the Third Proportional to 199,260 and 299,106

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Solution

The third proportional to 199,260 and 299,106 is: 448,983.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,260 : 299,106 = 299,106 : x
  2. Step 2: Convert to fraction form
    199,260/299,106 = 299,106/x
  3. Step 3: Cross multiply
    199,260x = 299,106 × 299,106
  4. Step 4: Simplify right side
    199,260x = 89,464,399,236
  5. Step 5: Solve for x
    x = 89,464,399,236/199,260
  6. Step 6: Final answer
    x = 448,983.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.