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Finding the Third Proportional to 229,506 and 330,555

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Solution

The third proportional to 229,506 and 330,555 is: 476,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,506 : 330,555 = 330,555 : x
  2. Step 2: Convert to fraction form
    229,506/330,555 = 330,555/x
  3. Step 3: Cross multiply
    229,506x = 330,555 × 330,555
  4. Step 4: Simplify right side
    229,506x = 109,266,608,025
  5. Step 5: Solve for x
    x = 109,266,608,025/229,506
  6. Step 6: Final answer
    x = 476,094.78

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Why These Related Problems?

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