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Finding the Third Proportional to 114,864 and 248,178

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Solution

The third proportional to 114,864 and 248,178 is: 536,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,864 : 248,178 = 248,178 : x
  2. Step 2: Convert to fraction form
    114,864/248,178 = 248,178/x
  3. Step 3: Cross multiply
    114,864x = 248,178 × 248,178
  4. Step 4: Simplify right side
    114,864x = 61,592,319,684
  5. Step 5: Solve for x
    x = 61,592,319,684/114,864
  6. Step 6: Final answer
    x = 536,219.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.