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Finding the Third Proportional to 146,096.16 and 228,370.64

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Solution

The third proportional to 146,096.16 and 228,370.64 is: 356,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,096.16 : 228,370.64 = 228,370.64 : x
  2. Step 2: Convert to fraction form
    146,096.16/228,370.64 = 228,370.64/x
  3. Step 3: Cross multiply
    146,096.16x = 228,370.64 × 228,370.64
  4. Step 4: Simplify right side
    146,096.16x = 52,153,149,499.47
  5. Step 5: Solve for x
    x = 52,153,149,499.47/146,096.16
  6. Step 6: Final answer
    x = 356,978.25

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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.