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Finding the Third Proportional to 153,846 and 232,818

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Solution

The third proportional to 153,846 and 232,818 is: 352,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846 : 232,818 = 232,818 : x
  2. Step 2: Convert to fraction form
    153,846/232,818 = 232,818/x
  3. Step 3: Cross multiply
    153,846x = 232,818 × 232,818
  4. Step 4: Simplify right side
    153,846x = 54,204,221,124
  5. Step 5: Solve for x
    x = 54,204,221,124/153,846
  6. Step 6: Final answer
    x = 352,327.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.