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Finding the Third Proportional to 119,348.25 and 259,999.50

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Solution

The third proportional to 119,348.25 and 259,999.50 is: 566,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,348.25 : 259,999.50 = 259,999.50 : x
  2. Step 2: Convert to fraction form
    119,348.25/259,999.50 = 259,999.50/x
  3. Step 3: Cross multiply
    119,348.25x = 259,999.50 × 259,999.50
  4. Step 4: Simplify right side
    119,348.25x = 67,599,740,000.25
  5. Step 5: Solve for x
    x = 67,599,740,000.25/119,348.25
  6. Step 6: Final answer
    x = 566,407.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.