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Finding the Third Proportional to 152,944 and 236,232

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Solution

The third proportional to 152,944 and 236,232 is: 364,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,944 : 236,232 = 236,232 : x
  2. Step 2: Convert to fraction form
    152,944/236,232 = 236,232/x
  3. Step 3: Cross multiply
    152,944x = 236,232 × 236,232
  4. Step 4: Simplify right side
    152,944x = 55,805,557,824
  5. Step 5: Solve for x
    x = 55,805,557,824/152,944
  6. Step 6: Final answer
    x = 364,875.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.