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Finding the Third Proportional to 76,433 and 164,584

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Solution

The third proportional to 76,433 and 164,584 is: 354,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,433 : 164,584 = 164,584 : x
  2. Step 2: Convert to fraction form
    76,433/164,584 = 164,584/x
  3. Step 3: Cross multiply
    76,433x = 164,584 × 164,584
  4. Step 4: Simplify right side
    76,433x = 27,087,893,056
  5. Step 5: Solve for x
    x = 27,087,893,056/76,433
  6. Step 6: Final answer
    x = 354,400.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.