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Finding the Third Proportional to 153,524 and 236,843

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Solution

The third proportional to 153,524 and 236,843 is: 365,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,524 : 236,843 = 236,843 : x
  2. Step 2: Convert to fraction form
    153,524/236,843 = 236,843/x
  3. Step 3: Cross multiply
    153,524x = 236,843 × 236,843
  4. Step 4: Simplify right side
    153,524x = 56,094,606,649
  5. Step 5: Solve for x
    x = 56,094,606,649/153,524
  6. Step 6: Final answer
    x = 365,380.05

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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.