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Finding the Third Proportional to 114,402.38 and 236,763

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Solution

The third proportional to 114,402.38 and 236,763 is: 489,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,402.38 : 236,763 = 236,763 : x
  2. Step 2: Convert to fraction form
    114,402.38/236,763 = 236,763/x
  3. Step 3: Cross multiply
    114,402.38x = 236,763 × 236,763
  4. Step 4: Simplify right side
    114,402.38x = 56,056,718,169
  5. Step 5: Solve for x
    x = 56,056,718,169/114,402.38
  6. Step 6: Final answer
    x = 489,996.11

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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.