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Finding the Third Proportional to 83,153 and 177,362

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Solution

The third proportional to 83,153 and 177,362 is: 378,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,153 : 177,362 = 177,362 : x
  2. Step 2: Convert to fraction form
    83,153/177,362 = 177,362/x
  3. Step 3: Cross multiply
    83,153x = 177,362 × 177,362
  4. Step 4: Simplify right side
    83,153x = 31,457,279,044
  5. Step 5: Solve for x
    x = 31,457,279,044/83,153
  6. Step 6: Final answer
    x = 378,306.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.