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Finding the Third Proportional to 146,256 and 232,596

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Solution

The third proportional to 146,256 and 232,596 is: 369,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,256 : 232,596 = 232,596 : x
  2. Step 2: Convert to fraction form
    146,256/232,596 = 232,596/x
  3. Step 3: Cross multiply
    146,256x = 232,596 × 232,596
  4. Step 4: Simplify right side
    146,256x = 54,100,899,216
  5. Step 5: Solve for x
    x = 54,100,899,216/146,256
  6. Step 6: Final answer
    x = 369,905.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.