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Finding the Third Proportional to 136,460.25 and 296,115

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Solution

The third proportional to 136,460.25 and 296,115 is: 642,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,460.25 : 296,115 = 296,115 : x
  2. Step 2: Convert to fraction form
    136,460.25/296,115 = 296,115/x
  3. Step 3: Cross multiply
    136,460.25x = 296,115 × 296,115
  4. Step 4: Simplify right side
    136,460.25x = 87,684,093,225
  5. Step 5: Solve for x
    x = 87,684,093,225/136,460.25
  6. Step 6: Final answer
    x = 642,561.43

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Why These Related Problems?

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