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Finding the Third Proportional to 229,088.25 and 333,244.13

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Solution

The third proportional to 229,088.25 and 333,244.13 is: 484,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,088.25 : 333,244.13 = 333,244.13 : x
  2. Step 2: Convert to fraction form
    229,088.25/333,244.13 = 333,244.13/x
  3. Step 3: Cross multiply
    229,088.25x = 333,244.13 × 333,244.13
  4. Step 4: Simplify right side
    229,088.25x = 111,051,646,847.02
  5. Step 5: Solve for x
    x = 111,051,646,847.02/229,088.25
  6. Step 6: Final answer
    x = 484,754.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.