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Finding the Third Proportional to 194,366 and 299,852

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Solution

The third proportional to 194,366 and 299,852 is: 462,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,366 : 299,852 = 299,852 : x
  2. Step 2: Convert to fraction form
    194,366/299,852 = 299,852/x
  3. Step 3: Cross multiply
    194,366x = 299,852 × 299,852
  4. Step 4: Simplify right side
    194,366x = 89,911,221,904
  5. Step 5: Solve for x
    x = 89,911,221,904/194,366
  6. Step 6: Final answer
    x = 462,587.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.