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Finding the Third Proportional to 119,398 and 258,524

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Solution

The third proportional to 119,398 and 258,524 is: 559,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,398 : 258,524 = 258,524 : x
  2. Step 2: Convert to fraction form
    119,398/258,524 = 258,524/x
  3. Step 3: Cross multiply
    119,398x = 258,524 × 258,524
  4. Step 4: Simplify right side
    119,398x = 66,834,658,576
  5. Step 5: Solve for x
    x = 66,834,658,576/119,398
  6. Step 6: Final answer
    x = 559,763.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.