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Finding the Third Proportional to 273,248 and 418,164

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Solution

The third proportional to 273,248 and 418,164 is: 639,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,248 : 418,164 = 418,164 : x
  2. Step 2: Convert to fraction form
    273,248/418,164 = 418,164/x
  3. Step 3: Cross multiply
    273,248x = 418,164 × 418,164
  4. Step 4: Simplify right side
    273,248x = 174,861,130,896
  5. Step 5: Solve for x
    x = 174,861,130,896/273,248
  6. Step 6: Final answer
    x = 639,935.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.