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Finding the Third Proportional to 164,907 and 227,535

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Solution

The third proportional to 164,907 and 227,535 is: 313,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,907 : 227,535 = 227,535 : x
  2. Step 2: Convert to fraction form
    164,907/227,535 = 227,535/x
  3. Step 3: Cross multiply
    164,907x = 227,535 × 227,535
  4. Step 4: Simplify right side
    164,907x = 51,772,176,225
  5. Step 5: Solve for x
    x = 51,772,176,225/164,907
  6. Step 6: Final answer
    x = 313,947.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.