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Finding the Third Proportional to 185,518.13 and 377,515.13

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Solution

The third proportional to 185,518.13 and 377,515.13 is: 768,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,518.13 : 377,515.13 = 377,515.13 : x
  2. Step 2: Convert to fraction form
    185,518.13/377,515.13 = 377,515.13/x
  3. Step 3: Cross multiply
    185,518.13x = 377,515.13 × 377,515.13
  4. Step 4: Simplify right side
    185,518.13x = 142,517,669,603.77
  5. Step 5: Solve for x
    x = 142,517,669,603.77/185,518.13
  6. Step 6: Final answer
    x = 768,214.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.