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Finding the Third Proportional to 155,536 and 335,881

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Solution

The third proportional to 155,536 and 335,881 is: 725,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536 : 335,881 = 335,881 : x
  2. Step 2: Convert to fraction form
    155,536/335,881 = 335,881/x
  3. Step 3: Cross multiply
    155,536x = 335,881 × 335,881
  4. Step 4: Simplify right side
    155,536x = 112,816,046,161
  5. Step 5: Solve for x
    x = 112,816,046,161/155,536
  6. Step 6: Final answer
    x = 725,337.20

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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.