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Finding the Third Proportional to 235,080 and 500,112

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Solution

The third proportional to 235,080 and 500,112 is: 1,063,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,080 : 500,112 = 500,112 : x
  2. Step 2: Convert to fraction form
    235,080/500,112 = 500,112/x
  3. Step 3: Cross multiply
    235,080x = 500,112 × 500,112
  4. Step 4: Simplify right side
    235,080x = 250,112,012,544
  5. Step 5: Solve for x
    x = 250,112,012,544/235,080
  6. Step 6: Final answer
    x = 1,063,944.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.