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Finding the Third Proportional to 147,782.06 and 229,296.94

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Solution

The third proportional to 147,782.06 and 229,296.94 is: 355,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,782.06 : 229,296.94 = 229,296.94 : x
  2. Step 2: Convert to fraction form
    147,782.06/229,296.94 = 229,296.94/x
  3. Step 3: Cross multiply
    147,782.06x = 229,296.94 × 229,296.94
  4. Step 4: Simplify right side
    147,782.06x = 52,577,085,546.88
  5. Step 5: Solve for x
    x = 52,577,085,546.88/147,782.06
  6. Step 6: Final answer
    x = 355,774.47

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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.