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Finding the Third Proportional to 176,042 and 384,342

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Solution

The third proportional to 176,042 and 384,342 is: 839,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,042 : 384,342 = 384,342 : x
  2. Step 2: Convert to fraction form
    176,042/384,342 = 384,342/x
  3. Step 3: Cross multiply
    176,042x = 384,342 × 384,342
  4. Step 4: Simplify right side
    176,042x = 147,718,772,964
  5. Step 5: Solve for x
    x = 147,718,772,964/176,042
  6. Step 6: Final answer
    x = 839,110.97

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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.