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Finding the Third Proportional to 119,213 and 248,125

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Solution

The third proportional to 119,213 and 248,125 is: 516,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,213 : 248,125 = 248,125 : x
  2. Step 2: Convert to fraction form
    119,213/248,125 = 248,125/x
  3. Step 3: Cross multiply
    119,213x = 248,125 × 248,125
  4. Step 4: Simplify right side
    119,213x = 61,566,015,625
  5. Step 5: Solve for x
    x = 61,566,015,625/119,213
  6. Step 6: Final answer
    x = 516,437.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.