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Finding the Third Proportional to 153,922 and 236,431

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Solution

The third proportional to 153,922 and 236,431 is: 363,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,922 : 236,431 = 236,431 : x
  2. Step 2: Convert to fraction form
    153,922/236,431 = 236,431/x
  3. Step 3: Cross multiply
    153,922x = 236,431 × 236,431
  4. Step 4: Simplify right side
    153,922x = 55,899,617,761
  5. Step 5: Solve for x
    x = 55,899,617,761/153,922
  6. Step 6: Final answer
    x = 363,168.47

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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.