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Finding the Third Proportional to 229,297 and 330,273

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Solution

The third proportional to 229,297 and 330,273 is: 475,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,297 : 330,273 = 330,273 : x
  2. Step 2: Convert to fraction form
    229,297/330,273 = 330,273/x
  3. Step 3: Cross multiply
    229,297x = 330,273 × 330,273
  4. Step 4: Simplify right side
    229,297x = 109,080,254,529
  5. Step 5: Solve for x
    x = 109,080,254,529/229,297
  6. Step 6: Final answer
    x = 475,716.01

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.