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Finding the Third Proportional to 174,796 and 381,342

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Solution

The third proportional to 174,796 and 381,342 is: 831,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,796 : 381,342 = 381,342 : x
  2. Step 2: Convert to fraction form
    174,796/381,342 = 381,342/x
  3. Step 3: Cross multiply
    174,796x = 381,342 × 381,342
  4. Step 4: Simplify right side
    174,796x = 145,421,720,964
  5. Step 5: Solve for x
    x = 145,421,720,964/174,796
  6. Step 6: Final answer
    x = 831,951.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.