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Finding the Third Proportional to 114,292 and 234,152

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Solution

The third proportional to 114,292 and 234,152 is: 479,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,292 : 234,152 = 234,152 : x
  2. Step 2: Convert to fraction form
    114,292/234,152 = 234,152/x
  3. Step 3: Cross multiply
    114,292x = 234,152 × 234,152
  4. Step 4: Simplify right side
    114,292x = 54,827,159,104
  5. Step 5: Solve for x
    x = 54,827,159,104/114,292
  6. Step 6: Final answer
    x = 479,711.26

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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.