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Finding the Third Proportional to 114,693 and 237,450

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Solution

The third proportional to 114,693 and 237,450 is: 491,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,693 : 237,450 = 237,450 : x
  2. Step 2: Convert to fraction form
    114,693/237,450 = 237,450/x
  3. Step 3: Cross multiply
    114,693x = 237,450 × 237,450
  4. Step 4: Simplify right side
    114,693x = 56,382,502,500
  5. Step 5: Solve for x
    x = 56,382,502,500/114,693
  6. Step 6: Final answer
    x = 491,594.98

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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.