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Finding the Third Proportional to 200,181.38 and 235,473.75

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Solution

The third proportional to 200,181.38 and 235,473.75 is: 276,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,181.38 : 235,473.75 = 235,473.75 : x
  2. Step 2: Convert to fraction form
    200,181.38/235,473.75 = 235,473.75/x
  3. Step 3: Cross multiply
    200,181.38x = 235,473.75 × 235,473.75
  4. Step 4: Simplify right side
    200,181.38x = 55,447,886,939.06
  5. Step 5: Solve for x
    x = 55,447,886,939.06/200,181.38
  6. Step 6: Final answer
    x = 276,988.24

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.