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Finding the Third Proportional to 155,881 and 336,085

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Solution

The third proportional to 155,881 and 336,085 is: 724,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,881 : 336,085 = 336,085 : x
  2. Step 2: Convert to fraction form
    155,881/336,085 = 336,085/x
  3. Step 3: Cross multiply
    155,881x = 336,085 × 336,085
  4. Step 4: Simplify right side
    155,881x = 112,953,127,225
  5. Step 5: Solve for x
    x = 112,953,127,225/155,881
  6. Step 6: Final answer
    x = 724,611.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.