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Finding the Third Proportional to 114,216 and 236,376

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Solution

The third proportional to 114,216 and 236,376 is: 489,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,216 : 236,376 = 236,376 : x
  2. Step 2: Convert to fraction form
    114,216/236,376 = 236,376/x
  3. Step 3: Cross multiply
    114,216x = 236,376 × 236,376
  4. Step 4: Simplify right side
    114,216x = 55,873,613,376
  5. Step 5: Solve for x
    x = 55,873,613,376/114,216
  6. Step 6: Final answer
    x = 489,192.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.