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Finding the Third Proportional to 153,918 and 236,425

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Solution

The third proportional to 153,918 and 236,425 is: 363,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,918 : 236,425 = 236,425 : x
  2. Step 2: Convert to fraction form
    153,918/236,425 = 236,425/x
  3. Step 3: Cross multiply
    153,918x = 236,425 × 236,425
  4. Step 4: Simplify right side
    153,918x = 55,896,780,625
  5. Step 5: Solve for x
    x = 55,896,780,625/153,918
  6. Step 6: Final answer
    x = 363,159.48

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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.