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Finding the Third Proportional to 119,956 and 258,365

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Solution

The third proportional to 119,956 and 258,365 is: 556,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,956 : 258,365 = 258,365 : x
  2. Step 2: Convert to fraction form
    119,956/258,365 = 258,365/x
  3. Step 3: Cross multiply
    119,956x = 258,365 × 258,365
  4. Step 4: Simplify right side
    119,956x = 66,752,473,225
  5. Step 5: Solve for x
    x = 66,752,473,225/119,956
  6. Step 6: Final answer
    x = 556,474.65

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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.