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Finding the Third Proportional to 165,620.81 and 357,470.44

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Solution

The third proportional to 165,620.81 and 357,470.44 is: 771,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,620.81 : 357,470.44 = 357,470.44 : x
  2. Step 2: Convert to fraction form
    165,620.81/357,470.44 = 357,470.44/x
  3. Step 3: Cross multiply
    165,620.81x = 357,470.44 × 357,470.44
  4. Step 4: Simplify right side
    165,620.81x = 127,785,113,686.44
  5. Step 5: Solve for x
    x = 127,785,113,686.44/165,620.81
  6. Step 6: Final answer
    x = 771,552.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.