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Finding the Third Proportional to 84,505.50 and 183,609

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Solution

The third proportional to 84,505.50 and 183,609 is: 398,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,505.50 : 183,609 = 183,609 : x
  2. Step 2: Convert to fraction form
    84,505.50/183,609 = 183,609/x
  3. Step 3: Cross multiply
    84,505.50x = 183,609 × 183,609
  4. Step 4: Simplify right side
    84,505.50x = 33,712,264,881
  5. Step 5: Solve for x
    x = 33,712,264,881/84,505.50
  6. Step 6: Final answer
    x = 398,935.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.