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Finding the Third Proportional to 235,370.25 and 518,247

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Solution

The third proportional to 235,370.25 and 518,247 is: 1,141,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,370.25 : 518,247 = 518,247 : x
  2. Step 2: Convert to fraction form
    235,370.25/518,247 = 518,247/x
  3. Step 3: Cross multiply
    235,370.25x = 518,247 × 518,247
  4. Step 4: Simplify right side
    235,370.25x = 268,579,953,009
  5. Step 5: Solve for x
    x = 268,579,953,009/235,370.25
  6. Step 6: Final answer
    x = 1,141,095.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.