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Finding the Third Proportional to 165,460.50 and 350,421.75

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Solution

The third proportional to 165,460.50 and 350,421.75 is: 742,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,460.50 : 350,421.75 = 350,421.75 : x
  2. Step 2: Convert to fraction form
    165,460.50/350,421.75 = 350,421.75/x
  3. Step 3: Cross multiply
    165,460.50x = 350,421.75 × 350,421.75
  4. Step 4: Simplify right side
    165,460.50x = 122,795,402,873.06
  5. Step 5: Solve for x
    x = 122,795,402,873.06/165,460.50
  6. Step 6: Final answer
    x = 742,143.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.