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Finding the Third Proportional to 129,466.50 and 276,923.63

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Solution

The third proportional to 129,466.50 and 276,923.63 is: 592,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,466.50 : 276,923.63 = 276,923.63 : x
  2. Step 2: Convert to fraction form
    129,466.50/276,923.63 = 276,923.63/x
  3. Step 3: Cross multiply
    129,466.50x = 276,923.63 × 276,923.63
  4. Step 4: Simplify right side
    129,466.50x = 76,686,694,083.14
  5. Step 5: Solve for x
    x = 76,686,694,083.14/129,466.50
  6. Step 6: Final answer
    x = 592,328.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.