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Finding the Third Proportional to 200,956.50 and 272,904.75

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Solution

The third proportional to 200,956.50 and 272,904.75 is: 370,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,956.50 : 272,904.75 = 272,904.75 : x
  2. Step 2: Convert to fraction form
    200,956.50/272,904.75 = 272,904.75/x
  3. Step 3: Cross multiply
    200,956.50x = 272,904.75 × 272,904.75
  4. Step 4: Simplify right side
    200,956.50x = 74,477,002,572.56
  5. Step 5: Solve for x
    x = 74,477,002,572.56/200,956.50
  6. Step 6: Final answer
    x = 370,612.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.