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Finding the Third Proportional to 201,039.55 and 418,417.52

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Solution

The third proportional to 201,039.55 and 418,417.52 is: 870,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,039.55 : 418,417.52 = 418,417.52 : x
  2. Step 2: Convert to fraction form
    201,039.55/418,417.52 = 418,417.52/x
  3. Step 3: Cross multiply
    201,039.55x = 418,417.52 × 418,417.52
  4. Step 4: Simplify right side
    201,039.55x = 175,073,223,919.57
  5. Step 5: Solve for x
    x = 175,073,223,919.57/201,039.55
  6. Step 6: Final answer
    x = 870,839.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.