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Finding the Third Proportional to 146,539 and 228,558

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Solution

The third proportional to 146,539 and 228,558 is: 356,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,539 : 228,558 = 228,558 : x
  2. Step 2: Convert to fraction form
    146,539/228,558 = 228,558/x
  3. Step 3: Cross multiply
    146,539x = 228,558 × 228,558
  4. Step 4: Simplify right side
    146,539x = 52,238,759,364
  5. Step 5: Solve for x
    x = 52,238,759,364/146,539
  6. Step 6: Final answer
    x = 356,483.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.