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Finding the Third Proportional to 146,680 and 228,786

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Solution

The third proportional to 146,680 and 228,786 is: 356,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,680 : 228,786 = 228,786 : x
  2. Step 2: Convert to fraction form
    146,680/228,786 = 228,786/x
  3. Step 3: Cross multiply
    146,680x = 228,786 × 228,786
  4. Step 4: Simplify right side
    146,680x = 52,343,033,796
  5. Step 5: Solve for x
    x = 52,343,033,796/146,680
  6. Step 6: Final answer
    x = 356,851.88

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