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Finding the Third Proportional to 199,235 and 299,604

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Solution

The third proportional to 199,235 and 299,604 is: 450,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,235 : 299,604 = 299,604 : x
  2. Step 2: Convert to fraction form
    199,235/299,604 = 299,604/x
  3. Step 3: Cross multiply
    199,235x = 299,604 × 299,604
  4. Step 4: Simplify right side
    199,235x = 89,762,556,816
  5. Step 5: Solve for x
    x = 89,762,556,816/199,235
  6. Step 6: Final answer
    x = 450,536.08

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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.