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Finding the Third Proportional to 153,908 and 232,907

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Solution

The third proportional to 153,908 and 232,907 is: 352,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,908 : 232,907 = 232,907 : x
  2. Step 2: Convert to fraction form
    153,908/232,907 = 232,907/x
  3. Step 3: Cross multiply
    153,908x = 232,907 × 232,907
  4. Step 4: Simplify right side
    153,908x = 54,245,670,649
  5. Step 5: Solve for x
    x = 54,245,670,649/153,908
  6. Step 6: Final answer
    x = 352,455.17

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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.