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Finding the Third Proportional to 130,920 and 200,185

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Solution

The third proportional to 130,920 and 200,185 is: 306,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,920 : 200,185 = 200,185 : x
  2. Step 2: Convert to fraction form
    130,920/200,185 = 200,185/x
  3. Step 3: Cross multiply
    130,920x = 200,185 × 200,185
  4. Step 4: Simplify right side
    130,920x = 40,074,034,225
  5. Step 5: Solve for x
    x = 40,074,034,225/130,920
  6. Step 6: Final answer
    x = 306,095.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.