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Finding the Third Proportional to 201,248 and 419,030

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Solution

The third proportional to 201,248 and 419,030 is: 872,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,248 : 419,030 = 419,030 : x
  2. Step 2: Convert to fraction form
    201,248/419,030 = 419,030/x
  3. Step 3: Cross multiply
    201,248x = 419,030 × 419,030
  4. Step 4: Simplify right side
    201,248x = 175,586,140,900
  5. Step 5: Solve for x
    x = 175,586,140,900/201,248
  6. Step 6: Final answer
    x = 872,486.39

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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.