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Finding the Third Proportional to 153,519 and 236,841

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Solution

The third proportional to 153,519 and 236,841 is: 365,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,519 : 236,841 = 236,841 : x
  2. Step 2: Convert to fraction form
    153,519/236,841 = 236,841/x
  3. Step 3: Cross multiply
    153,519x = 236,841 × 236,841
  4. Step 4: Simplify right side
    153,519x = 56,093,659,281
  5. Step 5: Solve for x
    x = 56,093,659,281/153,519
  6. Step 6: Final answer
    x = 365,385.78

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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.