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Finding the Third Proportional to 153,858 and 232,836

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Solution

The third proportional to 153,858 and 232,836 is: 352,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,858 : 232,836 = 232,836 : x
  2. Step 2: Convert to fraction form
    153,858/232,836 = 232,836/x
  3. Step 3: Cross multiply
    153,858x = 232,836 × 232,836
  4. Step 4: Simplify right side
    153,858x = 54,212,602,896
  5. Step 5: Solve for x
    x = 54,212,602,896/153,858
  6. Step 6: Final answer
    x = 352,354.79

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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.