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Finding the Third Proportional to 109,535.63 and 239,346.56

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Solution

The third proportional to 109,535.63 and 239,346.56 is: 522,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,535.63 : 239,346.56 = 239,346.56 : x
  2. Step 2: Convert to fraction form
    109,535.63/239,346.56 = 239,346.56/x
  3. Step 3: Cross multiply
    109,535.63x = 239,346.56 × 239,346.56
  4. Step 4: Simplify right side
    109,535.63x = 57,286,776,980.57
  5. Step 5: Solve for x
    x = 57,286,776,980.57/109,535.63
  6. Step 6: Final answer
    x = 522,996.76

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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.