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Finding the Third Proportional to 136,999 and 300,188

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Solution

The third proportional to 136,999 and 300,188 is: 657,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,999 : 300,188 = 300,188 : x
  2. Step 2: Convert to fraction form
    136,999/300,188 = 300,188/x
  3. Step 3: Cross multiply
    136,999x = 300,188 × 300,188
  4. Step 4: Simplify right side
    136,999x = 90,112,835,344
  5. Step 5: Solve for x
    x = 90,112,835,344/136,999
  6. Step 6: Final answer
    x = 657,762.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.