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Finding the Third Proportional to 193,454 and 434,524

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Solution

The third proportional to 193,454 and 434,524 is: 976,000.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,454 : 434,524 = 434,524 : x
  2. Step 2: Convert to fraction form
    193,454/434,524 = 434,524/x
  3. Step 3: Cross multiply
    193,454x = 434,524 × 434,524
  4. Step 4: Simplify right side
    193,454x = 188,811,106,576
  5. Step 5: Solve for x
    x = 188,811,106,576/193,454
  6. Step 6: Final answer
    x = 976,000.01

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.