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Finding the Third Proportional to 253,076 and 381,270

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Solution

The third proportional to 253,076 and 381,270 is: 574,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,076 : 381,270 = 381,270 : x
  2. Step 2: Convert to fraction form
    253,076/381,270 = 381,270/x
  3. Step 3: Cross multiply
    253,076x = 381,270 × 381,270
  4. Step 4: Simplify right side
    253,076x = 145,366,812,900
  5. Step 5: Solve for x
    x = 145,366,812,900/253,076
  6. Step 6: Final answer
    x = 574,399.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.