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Finding the Third Proportional to 114,492 and 248,036

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Solution

The third proportional to 114,492 and 248,036 is: 537,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,492 : 248,036 = 248,036 : x
  2. Step 2: Convert to fraction form
    114,492/248,036 = 248,036/x
  3. Step 3: Cross multiply
    114,492x = 248,036 × 248,036
  4. Step 4: Simplify right side
    114,492x = 61,521,857,296
  5. Step 5: Solve for x
    x = 61,521,857,296/114,492
  6. Step 6: Final answer
    x = 537,346.34

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