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Finding the Third Proportional to 136,885.50 and 200,598.75

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Solution

The third proportional to 136,885.50 and 200,598.75 is: 293,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,885.50 : 200,598.75 = 200,598.75 : x
  2. Step 2: Convert to fraction form
    136,885.50/200,598.75 = 200,598.75/x
  3. Step 3: Cross multiply
    136,885.50x = 200,598.75 × 200,598.75
  4. Step 4: Simplify right side
    136,885.50x = 40,239,858,501.56
  5. Step 5: Solve for x
    x = 40,239,858,501.56/136,885.50
  6. Step 6: Final answer
    x = 293,967.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.