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Finding the Third Proportional to 114,658 and 237,414

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Solution

The third proportional to 114,658 and 237,414 is: 491,595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,658 : 237,414 = 237,414 : x
  2. Step 2: Convert to fraction form
    114,658/237,414 = 237,414/x
  3. Step 3: Cross multiply
    114,658x = 237,414 × 237,414
  4. Step 4: Simplify right side
    114,658x = 56,365,407,396
  5. Step 5: Solve for x
    x = 56,365,407,396/114,658
  6. Step 6: Final answer
    x = 491,595.94

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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.