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Finding the Third Proportional to 113,817 and 244,482

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Solution

The third proportional to 113,817 and 244,482 is: 525,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,817 : 244,482 = 244,482 : x
  2. Step 2: Convert to fraction form
    113,817/244,482 = 244,482/x
  3. Step 3: Cross multiply
    113,817x = 244,482 × 244,482
  4. Step 4: Simplify right side
    113,817x = 59,771,448,324
  5. Step 5: Solve for x
    x = 59,771,448,324/113,817
  6. Step 6: Final answer
    x = 525,153.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.