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Finding the Third Proportional to 108,006.75 and 252,329.06

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Solution

The third proportional to 108,006.75 and 252,329.06 is: 589,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,006.75 : 252,329.06 = 252,329.06 : x
  2. Step 2: Convert to fraction form
    108,006.75/252,329.06 = 252,329.06/x
  3. Step 3: Cross multiply
    108,006.75x = 252,329.06 × 252,329.06
  4. Step 4: Simplify right side
    108,006.75x = 63,669,955,782.13
  5. Step 5: Solve for x
    x = 63,669,955,782.13/108,006.75
  6. Step 6: Final answer
    x = 589,499.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.