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Finding the Third Proportional to 136,518.75 and 200,313

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Solution

The third proportional to 136,518.75 and 200,313 is: 293,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,518.75 : 200,313 = 200,313 : x
  2. Step 2: Convert to fraction form
    136,518.75/200,313 = 200,313/x
  3. Step 3: Cross multiply
    136,518.75x = 200,313 × 200,313
  4. Step 4: Simplify right side
    136,518.75x = 40,125,297,969
  5. Step 5: Solve for x
    x = 40,125,297,969/136,518.75
  6. Step 6: Final answer
    x = 293,917.85

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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.