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Finding the Third Proportional to 114,646.50 and 237,393

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Solution

The third proportional to 114,646.50 and 237,393 is: 491,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,646.50 : 237,393 = 237,393 : x
  2. Step 2: Convert to fraction form
    114,646.50/237,393 = 237,393/x
  3. Step 3: Cross multiply
    114,646.50x = 237,393 × 237,393
  4. Step 4: Simplify right side
    114,646.50x = 56,355,436,449
  5. Step 5: Solve for x
    x = 56,355,436,449/114,646.50
  6. Step 6: Final answer
    x = 491,558.28

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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.