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Finding the Third Proportional to 114,356 and 236,522

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Solution

The third proportional to 114,356 and 236,522 is: 489,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,356 : 236,522 = 236,522 : x
  2. Step 2: Convert to fraction form
    114,356/236,522 = 236,522/x
  3. Step 3: Cross multiply
    114,356x = 236,522 × 236,522
  4. Step 4: Simplify right side
    114,356x = 55,942,656,484
  5. Step 5: Solve for x
    x = 55,942,656,484/114,356
  6. Step 6: Final answer
    x = 489,197.39

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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.