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Finding the Third Proportional to 165,815.25 and 355,288.50

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Solution

The third proportional to 165,815.25 and 355,288.50 is: 761,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,815.25 : 355,288.50 = 355,288.50 : x
  2. Step 2: Convert to fraction form
    165,815.25/355,288.50 = 355,288.50/x
  3. Step 3: Cross multiply
    165,815.25x = 355,288.50 × 355,288.50
  4. Step 4: Simplify right side
    165,815.25x = 126,229,918,232.25
  5. Step 5: Solve for x
    x = 126,229,918,232.25/165,815.25
  6. Step 6: Final answer
    x = 761,268.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.