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Finding the Third Proportional to 119,883 and 258,447

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Solution

The third proportional to 119,883 and 258,447 is: 557,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,883 : 258,447 = 258,447 : x
  2. Step 2: Convert to fraction form
    119,883/258,447 = 258,447/x
  3. Step 3: Cross multiply
    119,883x = 258,447 × 258,447
  4. Step 4: Simplify right side
    119,883x = 66,794,851,809
  5. Step 5: Solve for x
    x = 66,794,851,809/119,883
  6. Step 6: Final answer
    x = 557,167.00

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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.