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Finding the Third Proportional to 185,521 and 406,550

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Solution

The third proportional to 185,521 and 406,550 is: 890,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,521 : 406,550 = 406,550 : x
  2. Step 2: Convert to fraction form
    185,521/406,550 = 406,550/x
  3. Step 3: Cross multiply
    185,521x = 406,550 × 406,550
  4. Step 4: Simplify right side
    185,521x = 165,282,902,500
  5. Step 5: Solve for x
    x = 165,282,902,500/185,521
  6. Step 6: Final answer
    x = 890,912.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.