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Finding the Third Proportional to 117,534.38 and 211,740.75

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Solution

The third proportional to 117,534.38 and 211,740.75 is: 381,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,534.38 : 211,740.75 = 211,740.75 : x
  2. Step 2: Convert to fraction form
    117,534.38/211,740.75 = 211,740.75/x
  3. Step 3: Cross multiply
    117,534.38x = 211,740.75 × 211,740.75
  4. Step 4: Simplify right side
    117,534.38x = 44,834,145,210.56
  5. Step 5: Solve for x
    x = 44,834,145,210.56/117,534.38
  6. Step 6: Final answer
    x = 381,455.60

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.