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Finding the Third Proportional to 164,857.50 and 241,089

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Solution

The third proportional to 164,857.50 and 241,089 is: 352,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,857.50 : 241,089 = 241,089 : x
  2. Step 2: Convert to fraction form
    164,857.50/241,089 = 241,089/x
  3. Step 3: Cross multiply
    164,857.50x = 241,089 × 241,089
  4. Step 4: Simplify right side
    164,857.50x = 58,123,905,921
  5. Step 5: Solve for x
    x = 58,123,905,921/164,857.50
  6. Step 6: Final answer
    x = 352,570.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.