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Finding the Third Proportional to 76,324 and 164,312

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Solution

The third proportional to 76,324 and 164,312 is: 353,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,324 : 164,312 = 164,312 : x
  2. Step 2: Convert to fraction form
    76,324/164,312 = 164,312/x
  3. Step 3: Cross multiply
    76,324x = 164,312 × 164,312
  4. Step 4: Simplify right side
    76,324x = 26,998,433,344
  5. Step 5: Solve for x
    x = 26,998,433,344/76,324
  6. Step 6: Final answer
    x = 353,734.52

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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.