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Finding the Third Proportional to 227,226.09 and 352,322.16

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Solution

The third proportional to 227,226.09 and 352,322.16 is: 546,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,226.09 : 352,322.16 = 352,322.16 : x
  2. Step 2: Convert to fraction form
    227,226.09/352,322.16 = 352,322.16/x
  3. Step 3: Cross multiply
    227,226.09x = 352,322.16 × 352,322.16
  4. Step 4: Simplify right side
    227,226.09x = 124,130,901,784.65
  5. Step 5: Solve for x
    x = 124,130,901,784.65/227,226.09
  6. Step 6: Final answer
    x = 546,288.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.