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Finding the Third Proportional to 292,096 and 322,816

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Solution

The third proportional to 292,096 and 322,816 is: 356,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,096 : 322,816 = 322,816 : x
  2. Step 2: Convert to fraction form
    292,096/322,816 = 322,816/x
  3. Step 3: Cross multiply
    292,096x = 322,816 × 322,816
  4. Step 4: Simplify right side
    292,096x = 104,210,169,856
  5. Step 5: Solve for x
    x = 104,210,169,856/292,096
  6. Step 6: Final answer
    x = 356,766.85

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.