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Finding the Third Proportional to 114,278 and 234,124

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Solution

The third proportional to 114,278 and 234,124 is: 479,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,278 : 234,124 = 234,124 : x
  2. Step 2: Convert to fraction form
    114,278/234,124 = 234,124/x
  3. Step 3: Cross multiply
    114,278x = 234,124 × 234,124
  4. Step 4: Simplify right side
    114,278x = 54,814,047,376
  5. Step 5: Solve for x
    x = 54,814,047,376/114,278
  6. Step 6: Final answer
    x = 479,655.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.