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Finding the Third Proportional to 135,124.50 and 312,776.50

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Solution

The third proportional to 135,124.50 and 312,776.50 is: 723,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,124.50 : 312,776.50 = 312,776.50 : x
  2. Step 2: Convert to fraction form
    135,124.50/312,776.50 = 312,776.50/x
  3. Step 3: Cross multiply
    135,124.50x = 312,776.50 × 312,776.50
  4. Step 4: Simplify right side
    135,124.50x = 97,829,138,952.25
  5. Step 5: Solve for x
    x = 97,829,138,952.25/135,124.50
  6. Step 6: Final answer
    x = 723,992.61

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.