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Finding the Third Proportional to 153,848 and 236,157

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Solution

The third proportional to 153,848 and 236,157 is: 362,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,848 : 236,157 = 236,157 : x
  2. Step 2: Convert to fraction form
    153,848/236,157 = 236,157/x
  3. Step 3: Cross multiply
    153,848x = 236,157 × 236,157
  4. Step 4: Simplify right side
    153,848x = 55,770,128,649
  5. Step 5: Solve for x
    x = 55,770,128,649/153,848
  6. Step 6: Final answer
    x = 362,501.49

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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.