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Finding the Third Proportional to 227,725.88 and 340,336.13

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Solution

The third proportional to 227,725.88 and 340,336.13 is: 508,632.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,725.88 : 340,336.13 = 340,336.13 : x
  2. Step 2: Convert to fraction form
    227,725.88/340,336.13 = 340,336.13/x
  3. Step 3: Cross multiply
    227,725.88x = 340,336.13 × 340,336.13
  4. Step 4: Simplify right side
    227,725.88x = 115,828,677,980.02
  5. Step 5: Solve for x
    x = 115,828,677,980.02/227,725.88
  6. Step 6: Final answer
    x = 508,632.05

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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.