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Finding the Third Proportional to 165,781.50 and 254,964

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Solution

The third proportional to 165,781.50 and 254,964 is: 392,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,781.50 : 254,964 = 254,964 : x
  2. Step 2: Convert to fraction form
    165,781.50/254,964 = 254,964/x
  3. Step 3: Cross multiply
    165,781.50x = 254,964 × 254,964
  4. Step 4: Simplify right side
    165,781.50x = 65,006,641,296
  5. Step 5: Solve for x
    x = 65,006,641,296/165,781.50
  6. Step 6: Final answer
    x = 392,122.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.