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Finding the Third Proportional to 229,443.19 and 492,100.31

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Solution

The third proportional to 229,443.19 and 492,100.31 is: 1,055,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,443.19 : 492,100.31 = 492,100.31 : x
  2. Step 2: Convert to fraction form
    229,443.19/492,100.31 = 492,100.31/x
  3. Step 3: Cross multiply
    229,443.19x = 492,100.31 × 492,100.31
  4. Step 4: Simplify right side
    229,443.19x = 242,162,717,562.60
  5. Step 5: Solve for x
    x = 242,162,717,562.60/229,443.19
  6. Step 6: Final answer
    x = 1,055,436.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.