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Finding the Third Proportional to 213,894 and 244,998

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Solution

The third proportional to 213,894 and 244,998 is: 280,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,894 : 244,998 = 244,998 : x
  2. Step 2: Convert to fraction form
    213,894/244,998 = 244,998/x
  3. Step 3: Cross multiply
    213,894x = 244,998 × 244,998
  4. Step 4: Simplify right side
    213,894x = 60,024,020,004
  5. Step 5: Solve for x
    x = 60,024,020,004/213,894
  6. Step 6: Final answer
    x = 280,625.08

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.