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Finding the Third Proportional to 193,260 and 289,001

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Solution

The third proportional to 193,260 and 289,001 is: 432,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,260 : 289,001 = 289,001 : x
  2. Step 2: Convert to fraction form
    193,260/289,001 = 289,001/x
  3. Step 3: Cross multiply
    193,260x = 289,001 × 289,001
  4. Step 4: Simplify right side
    193,260x = 83,521,578,001
  5. Step 5: Solve for x
    x = 83,521,578,001/193,260
  6. Step 6: Final answer
    x = 432,172.09

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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.