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Finding the Third Proportional to 229,306 and 330,284

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Solution

The third proportional to 229,306 and 330,284 is: 475,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,306 : 330,284 = 330,284 : x
  2. Step 2: Convert to fraction form
    229,306/330,284 = 330,284/x
  3. Step 3: Cross multiply
    229,306x = 330,284 × 330,284
  4. Step 4: Simplify right side
    229,306x = 109,087,520,656
  5. Step 5: Solve for x
    x = 109,087,520,656/229,306
  6. Step 6: Final answer
    x = 475,729.03

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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.