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Finding the Third Proportional to 108,828.56 and 166,368.94

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Solution

The third proportional to 108,828.56 and 166,368.94 is: 254,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,828.56 : 166,368.94 = 166,368.94 : x
  2. Step 2: Convert to fraction form
    108,828.56/166,368.94 = 166,368.94/x
  3. Step 3: Cross multiply
    108,828.56x = 166,368.94 × 166,368.94
  4. Step 4: Simplify right side
    108,828.56x = 27,678,623,364.88
  5. Step 5: Solve for x
    x = 27,678,623,364.88/108,828.56
  6. Step 6: Final answer
    x = 254,332.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.