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Finding the Third Proportional to 145,644.19 and 226,027.13

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Solution

The third proportional to 145,644.19 and 226,027.13 is: 350,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,644.19 : 226,027.13 = 226,027.13 : x
  2. Step 2: Convert to fraction form
    145,644.19/226,027.13 = 226,027.13/x
  3. Step 3: Cross multiply
    145,644.19x = 226,027.13 × 226,027.13
  4. Step 4: Simplify right side
    145,644.19x = 51,088,261,235.77
  5. Step 5: Solve for x
    x = 51,088,261,235.77/145,644.19
  6. Step 6: Final answer
    x = 350,774.46

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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.