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Finding the Third Proportional to 201,248 and 419,032

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Solution

The third proportional to 201,248 and 419,032 is: 872,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,248 : 419,032 = 419,032 : x
  2. Step 2: Convert to fraction form
    201,248/419,032 = 419,032/x
  3. Step 3: Cross multiply
    201,248x = 419,032 × 419,032
  4. Step 4: Simplify right side
    201,248x = 175,587,817,024
  5. Step 5: Solve for x
    x = 175,587,817,024/201,248
  6. Step 6: Final answer
    x = 872,494.72

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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.