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Finding the Third Proportional to 193,496 and 299,000

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Solution

The third proportional to 193,496 and 299,000 is: 462,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,496 : 299,000 = 299,000 : x
  2. Step 2: Convert to fraction form
    193,496/299,000 = 299,000/x
  3. Step 3: Cross multiply
    193,496x = 299,000 × 299,000
  4. Step 4: Simplify right side
    193,496x = 89,401,000,000
  5. Step 5: Solve for x
    x = 89,401,000,000/193,496
  6. Step 6: Final answer
    x = 462,030.22

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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.