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Finding the Third Proportional to 134,140 and 284,273

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Solution

The third proportional to 134,140 and 284,273 is: 602,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,140 : 284,273 = 284,273 : x
  2. Step 2: Convert to fraction form
    134,140/284,273 = 284,273/x
  3. Step 3: Cross multiply
    134,140x = 284,273 × 284,273
  4. Step 4: Simplify right side
    134,140x = 80,811,138,529
  5. Step 5: Solve for x
    x = 80,811,138,529/134,140
  6. Step 6: Final answer
    x = 602,438.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.