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Finding the Third Proportional to 114,770 and 248,598

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Solution

The third proportional to 114,770 and 248,598 is: 538,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,770 : 248,598 = 248,598 : x
  2. Step 2: Convert to fraction form
    114,770/248,598 = 248,598/x
  3. Step 3: Cross multiply
    114,770x = 248,598 × 248,598
  4. Step 4: Simplify right side
    114,770x = 61,800,965,604
  5. Step 5: Solve for x
    x = 61,800,965,604/114,770
  6. Step 6: Final answer
    x = 538,476.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.