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Finding the Third Proportional to 258,166 and 371,830

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Solution

The third proportional to 258,166 and 371,830 is: 535,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,166 : 371,830 = 371,830 : x
  2. Step 2: Convert to fraction form
    258,166/371,830 = 371,830/x
  3. Step 3: Cross multiply
    258,166x = 371,830 × 371,830
  4. Step 4: Simplify right side
    258,166x = 138,257,548,900
  5. Step 5: Solve for x
    x = 138,257,548,900/258,166
  6. Step 6: Final answer
    x = 535,537.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.