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Finding the Third Proportional to 169,495.50 and 368,151

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Solution

The third proportional to 169,495.50 and 368,151 is: 799,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,495.50 : 368,151 = 368,151 : x
  2. Step 2: Convert to fraction form
    169,495.50/368,151 = 368,151/x
  3. Step 3: Cross multiply
    169,495.50x = 368,151 × 368,151
  4. Step 4: Simplify right side
    169,495.50x = 135,535,158,801
  5. Step 5: Solve for x
    x = 135,535,158,801/169,495.50
  6. Step 6: Final answer
    x = 799,638.69

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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.