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Finding the Third Proportional to 225,352 and 327,440

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Solution

The third proportional to 225,352 and 327,440 is: 475,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,352 : 327,440 = 327,440 : x
  2. Step 2: Convert to fraction form
    225,352/327,440 = 327,440/x
  3. Step 3: Cross multiply
    225,352x = 327,440 × 327,440
  4. Step 4: Simplify right side
    225,352x = 107,216,953,600
  5. Step 5: Solve for x
    x = 107,216,953,600/225,352
  6. Step 6: Final answer
    x = 475,775.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.