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Finding the Third Proportional to 155,336 and 232,764

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Solution

The third proportional to 155,336 and 232,764 is: 348,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,336 : 232,764 = 232,764 : x
  2. Step 2: Convert to fraction form
    155,336/232,764 = 232,764/x
  3. Step 3: Cross multiply
    155,336x = 232,764 × 232,764
  4. Step 4: Simplify right side
    155,336x = 54,179,079,696
  5. Step 5: Solve for x
    x = 54,179,079,696/155,336
  6. Step 6: Final answer
    x = 348,786.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.