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Finding the Third Proportional to 119,026.50 and 280,497

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Solution

The third proportional to 119,026.50 and 280,497 is: 661,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,026.50 : 280,497 = 280,497 : x
  2. Step 2: Convert to fraction form
    119,026.50/280,497 = 280,497/x
  3. Step 3: Cross multiply
    119,026.50x = 280,497 × 280,497
  4. Step 4: Simplify right side
    119,026.50x = 78,678,567,009
  5. Step 5: Solve for x
    x = 78,678,567,009/119,026.50
  6. Step 6: Final answer
    x = 661,017.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.