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Finding the Third Proportional to 195,280 and 406,111

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Solution

The third proportional to 195,280 and 406,111 is: 844,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,280 : 406,111 = 406,111 : x
  2. Step 2: Convert to fraction form
    195,280/406,111 = 406,111/x
  3. Step 3: Cross multiply
    195,280x = 406,111 × 406,111
  4. Step 4: Simplify right side
    195,280x = 164,926,144,321
  5. Step 5: Solve for x
    x = 164,926,144,321/195,280
  6. Step 6: Final answer
    x = 844,562.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.