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Finding the Third Proportional to 119,864 and 258,409

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Solution

The third proportional to 119,864 and 258,409 is: 557,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,864 : 258,409 = 258,409 : x
  2. Step 2: Convert to fraction form
    119,864/258,409 = 258,409/x
  3. Step 3: Cross multiply
    119,864x = 258,409 × 258,409
  4. Step 4: Simplify right side
    119,864x = 66,775,211,281
  5. Step 5: Solve for x
    x = 66,775,211,281/119,864
  6. Step 6: Final answer
    x = 557,091.46

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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.