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Finding the Third Proportional to 151,296.19 and 226,056.09

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Solution

The third proportional to 151,296.19 and 226,056.09 is: 337,757.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,296.19 : 226,056.09 = 226,056.09 : x
  2. Step 2: Convert to fraction form
    151,296.19/226,056.09 = 226,056.09/x
  3. Step 3: Cross multiply
    151,296.19x = 226,056.09 × 226,056.09
  4. Step 4: Simplify right side
    151,296.19x = 51,101,357,521.51
  5. Step 5: Solve for x
    x = 51,101,357,521.51/151,296.19
  6. Step 6: Final answer
    x = 337,757.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.