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Finding the Third Proportional to 135,575 and 295,277.50

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Solution

The third proportional to 135,575 and 295,277.50 is: 643,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,575 : 295,277.50 = 295,277.50 : x
  2. Step 2: Convert to fraction form
    135,575/295,277.50 = 295,277.50/x
  3. Step 3: Cross multiply
    135,575x = 295,277.50 × 295,277.50
  4. Step 4: Simplify right side
    135,575x = 87,188,802,006.25
  5. Step 5: Solve for x
    x = 87,188,802,006.25/135,575
  6. Step 6: Final answer
    x = 643,103.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.