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Finding the Third Proportional to 194,284 and 299,732

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Solution

The third proportional to 194,284 and 299,732 is: 462,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,284 : 299,732 = 299,732 : x
  2. Step 2: Convert to fraction form
    194,284/299,732 = 299,732/x
  3. Step 3: Cross multiply
    194,284x = 299,732 × 299,732
  4. Step 4: Simplify right side
    194,284x = 89,839,271,824
  5. Step 5: Solve for x
    x = 89,839,271,824/194,284
  6. Step 6: Final answer
    x = 462,412.10

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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.