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Finding the Third Proportional to 165,756.38 and 254,927.25

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Solution

The third proportional to 165,756.38 and 254,927.25 is: 392,068.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,756.38 : 254,927.25 = 254,927.25 : x
  2. Step 2: Convert to fraction form
    165,756.38/254,927.25 = 254,927.25/x
  3. Step 3: Cross multiply
    165,756.38x = 254,927.25 × 254,927.25
  4. Step 4: Simplify right side
    165,756.38x = 64,987,902,792.56
  5. Step 5: Solve for x
    x = 64,987,902,792.56/165,756.38
  6. Step 6: Final answer
    x = 392,068.80

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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.