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Finding the Third Proportional to 114,817.50 and 237,654

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Solution

The third proportional to 114,817.50 and 237,654 is: 491,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,817.50 : 237,654 = 237,654 : x
  2. Step 2: Convert to fraction form
    114,817.50/237,654 = 237,654/x
  3. Step 3: Cross multiply
    114,817.50x = 237,654 × 237,654
  4. Step 4: Simplify right side
    114,817.50x = 56,479,423,716
  5. Step 5: Solve for x
    x = 56,479,423,716/114,817.50
  6. Step 6: Final answer
    x = 491,906.06

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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.