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Finding the Third Proportional to 136,912.50 and 294,196.50

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Solution

The third proportional to 136,912.50 and 294,196.50 is: 632,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,912.50 : 294,196.50 = 294,196.50 : x
  2. Step 2: Convert to fraction form
    136,912.50/294,196.50 = 294,196.50/x
  3. Step 3: Cross multiply
    136,912.50x = 294,196.50 × 294,196.50
  4. Step 4: Simplify right side
    136,912.50x = 86,551,580,612.25
  5. Step 5: Solve for x
    x = 86,551,580,612.25/136,912.50
  6. Step 6: Final answer
    x = 632,167.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.