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Finding the Third Proportional to 119,977.13 and 262,552.88

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Solution

The third proportional to 119,977.13 and 262,552.88 is: 574,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,977.13 : 262,552.88 = 262,552.88 : x
  2. Step 2: Convert to fraction form
    119,977.13/262,552.88 = 262,552.88/x
  3. Step 3: Cross multiply
    119,977.13x = 262,552.88 × 262,552.88
  4. Step 4: Simplify right side
    119,977.13x = 68,934,012,170.77
  5. Step 5: Solve for x
    x = 68,934,012,170.77/119,977.13
  6. Step 6: Final answer
    x = 574,559.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.