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Finding the Third Proportional to 136,935 and 296,986.50

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Solution

The third proportional to 136,935 and 296,986.50 is: 644,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,935 : 296,986.50 = 296,986.50 : x
  2. Step 2: Convert to fraction form
    136,935/296,986.50 = 296,986.50/x
  3. Step 3: Cross multiply
    136,935x = 296,986.50 × 296,986.50
  4. Step 4: Simplify right side
    136,935x = 88,200,981,182.25
  5. Step 5: Solve for x
    x = 88,200,981,182.25/136,935
  6. Step 6: Final answer
    x = 644,108.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.