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Finding the Third Proportional to 83,606.50 and 178,553

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Solution

The third proportional to 83,606.50 and 178,553 is: 381,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,606.50 : 178,553 = 178,553 : x
  2. Step 2: Convert to fraction form
    83,606.50/178,553 = 178,553/x
  3. Step 3: Cross multiply
    83,606.50x = 178,553 × 178,553
  4. Step 4: Simplify right side
    83,606.50x = 31,881,173,809
  5. Step 5: Solve for x
    x = 31,881,173,809/83,606.50
  6. Step 6: Final answer
    x = 381,324.11

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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.