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Finding the Third Proportional to 76,323 and 164,310

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Solution

The third proportional to 76,323 and 164,310 is: 353,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,323 : 164,310 = 164,310 : x
  2. Step 2: Convert to fraction form
    76,323/164,310 = 164,310/x
  3. Step 3: Cross multiply
    76,323x = 164,310 × 164,310
  4. Step 4: Simplify right side
    76,323x = 26,997,776,100
  5. Step 5: Solve for x
    x = 26,997,776,100/76,323
  6. Step 6: Final answer
    x = 353,730.54

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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.