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Finding the Third Proportional to 153,561 and 236,902

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Solution

The third proportional to 153,561 and 236,902 is: 365,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,561 : 236,902 = 236,902 : x
  2. Step 2: Convert to fraction form
    153,561/236,902 = 236,902/x
  3. Step 3: Cross multiply
    153,561x = 236,902 × 236,902
  4. Step 4: Simplify right side
    153,561x = 56,122,557,604
  5. Step 5: Solve for x
    x = 56,122,557,604/153,561
  6. Step 6: Final answer
    x = 365,474.03

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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.