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Finding the Third Proportional to 119,850 and 261,148

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Solution

The third proportional to 119,850 and 261,148 is: 569,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,850 : 261,148 = 261,148 : x
  2. Step 2: Convert to fraction form
    119,850/261,148 = 261,148/x
  3. Step 3: Cross multiply
    119,850x = 261,148 × 261,148
  4. Step 4: Simplify right side
    119,850x = 68,198,277,904
  5. Step 5: Solve for x
    x = 68,198,277,904/119,850
  6. Step 6: Final answer
    x = 569,030.27

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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.