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Finding the Third Proportional to 76,184 and 176,342

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Solution

The third proportional to 76,184 and 176,342 is: 408,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,184 : 176,342 = 176,342 : x
  2. Step 2: Convert to fraction form
    76,184/176,342 = 176,342/x
  3. Step 3: Cross multiply
    76,184x = 176,342 × 176,342
  4. Step 4: Simplify right side
    76,184x = 31,096,500,964
  5. Step 5: Solve for x
    x = 31,096,500,964/76,184
  6. Step 6: Final answer
    x = 408,176.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.