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Finding the Third Proportional to 114,664 and 250,152

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Solution

The third proportional to 114,664 and 250,152 is: 545,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,664 : 250,152 = 250,152 : x
  2. Step 2: Convert to fraction form
    114,664/250,152 = 250,152/x
  3. Step 3: Cross multiply
    114,664x = 250,152 × 250,152
  4. Step 4: Simplify right side
    114,664x = 62,576,023,104
  5. Step 5: Solve for x
    x = 62,576,023,104/114,664
  6. Step 6: Final answer
    x = 545,733.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.