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Finding the Third Proportional to 168,308.25 and 362,860.50

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Solution

The third proportional to 168,308.25 and 362,860.50 is: 782,301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,308.25 : 362,860.50 = 362,860.50 : x
  2. Step 2: Convert to fraction form
    168,308.25/362,860.50 = 362,860.50/x
  3. Step 3: Cross multiply
    168,308.25x = 362,860.50 × 362,860.50
  4. Step 4: Simplify right side
    168,308.25x = 131,667,742,460.25
  5. Step 5: Solve for x
    x = 131,667,742,460.25/168,308.25
  6. Step 6: Final answer
    x = 782,301.18

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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.