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Finding the Third Proportional to 133,696 and 285,184

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Solution

The third proportional to 133,696 and 285,184 is: 608,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696 : 285,184 = 285,184 : x
  2. Step 2: Convert to fraction form
    133,696/285,184 = 285,184/x
  3. Step 3: Cross multiply
    133,696x = 285,184 × 285,184
  4. Step 4: Simplify right side
    133,696x = 81,329,913,856
  5. Step 5: Solve for x
    x = 81,329,913,856/133,696
  6. Step 6: Final answer
    x = 608,319.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.