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Finding the Third Proportional to 155,527 and 228,324

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Solution

The third proportional to 155,527 and 228,324 is: 335,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527 : 228,324 = 228,324 : x
  2. Step 2: Convert to fraction form
    155,527/228,324 = 228,324/x
  3. Step 3: Cross multiply
    155,527x = 228,324 × 228,324
  4. Step 4: Simplify right side
    155,527x = 52,131,848,976
  5. Step 5: Solve for x
    x = 52,131,848,976/155,527
  6. Step 6: Final answer
    x = 335,194.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.