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Finding the Third Proportional to 115,715 and 253,624

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Solution

The third proportional to 115,715 and 253,624 is: 555,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,715 : 253,624 = 253,624 : x
  2. Step 2: Convert to fraction form
    115,715/253,624 = 253,624/x
  3. Step 3: Cross multiply
    115,715x = 253,624 × 253,624
  4. Step 4: Simplify right side
    115,715x = 64,325,133,376
  5. Step 5: Solve for x
    x = 64,325,133,376/115,715
  6. Step 6: Final answer
    x = 555,892.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.