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Finding the Third Proportional to 119,908 and 258,284

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Solution

The third proportional to 119,908 and 258,284 is: 556,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,908 : 258,284 = 258,284 : x
  2. Step 2: Convert to fraction form
    119,908/258,284 = 258,284/x
  3. Step 3: Cross multiply
    119,908x = 258,284 × 258,284
  4. Step 4: Simplify right side
    119,908x = 66,710,624,656
  5. Step 5: Solve for x
    x = 66,710,624,656/119,908
  6. Step 6: Final answer
    x = 556,348.41

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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.