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Finding the Third Proportional to 119,856 and 258,396

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Solution

The third proportional to 119,856 and 258,396 is: 557,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,856 : 258,396 = 258,396 : x
  2. Step 2: Convert to fraction form
    119,856/258,396 = 258,396/x
  3. Step 3: Cross multiply
    119,856x = 258,396 × 258,396
  4. Step 4: Simplify right side
    119,856x = 66,768,492,816
  5. Step 5: Solve for x
    x = 66,768,492,816/119,856
  6. Step 6: Final answer
    x = 557,072.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.