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Finding the Third Proportional to 146,658 and 226,714.50

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Solution

The third proportional to 146,658 and 226,714.50 is: 350,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,658 : 226,714.50 = 226,714.50 : x
  2. Step 2: Convert to fraction form
    146,658/226,714.50 = 226,714.50/x
  3. Step 3: Cross multiply
    146,658x = 226,714.50 × 226,714.50
  4. Step 4: Simplify right side
    146,658x = 51,399,464,510.25
  5. Step 5: Solve for x
    x = 51,399,464,510.25/146,658
  6. Step 6: Final answer
    x = 350,471.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.