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Finding the Third Proportional to 136,023.50 and 296,140

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Solution

The third proportional to 136,023.50 and 296,140 is: 644,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,023.50 : 296,140 = 296,140 : x
  2. Step 2: Convert to fraction form
    136,023.50/296,140 = 296,140/x
  3. Step 3: Cross multiply
    136,023.50x = 296,140 × 296,140
  4. Step 4: Simplify right side
    136,023.50x = 87,698,899,600
  5. Step 5: Solve for x
    x = 87,698,899,600/136,023.50
  6. Step 6: Final answer
    x = 644,733.44

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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.