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Finding the Third Proportional to 83,273 and 178,445

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Solution

The third proportional to 83,273 and 178,445 is: 382,388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,273 : 178,445 = 178,445 : x
  2. Step 2: Convert to fraction form
    83,273/178,445 = 178,445/x
  3. Step 3: Cross multiply
    83,273x = 178,445 × 178,445
  4. Step 4: Simplify right side
    83,273x = 31,842,618,025
  5. Step 5: Solve for x
    x = 31,842,618,025/83,273
  6. Step 6: Final answer
    x = 382,388.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.