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Finding the Third Proportional to 194,033 and 289,852

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Solution

The third proportional to 194,033 and 289,852 is: 432,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,033 : 289,852 = 289,852 : x
  2. Step 2: Convert to fraction form
    194,033/289,852 = 289,852/x
  3. Step 3: Cross multiply
    194,033x = 289,852 × 289,852
  4. Step 4: Simplify right side
    194,033x = 84,014,181,904
  5. Step 5: Solve for x
    x = 84,014,181,904/194,033
  6. Step 6: Final answer
    x = 432,989.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.