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Finding the Third Proportional to 120,594 and 258,683

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Solution

The third proportional to 120,594 and 258,683 is: 554,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,594 : 258,683 = 258,683 : x
  2. Step 2: Convert to fraction form
    120,594/258,683 = 258,683/x
  3. Step 3: Cross multiply
    120,594x = 258,683 × 258,683
  4. Step 4: Simplify right side
    120,594x = 66,916,894,489
  5. Step 5: Solve for x
    x = 66,916,894,489/120,594
  6. Step 6: Final answer
    x = 554,894.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.