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Finding the Third Proportional to 229,296 and 354,312

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Solution

The third proportional to 229,296 and 354,312 is: 547,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,296 : 354,312 = 354,312 : x
  2. Step 2: Convert to fraction form
    229,296/354,312 = 354,312/x
  3. Step 3: Cross multiply
    229,296x = 354,312 × 354,312
  4. Step 4: Simplify right side
    229,296x = 125,536,993,344
  5. Step 5: Solve for x
    x = 125,536,993,344/229,296
  6. Step 6: Final answer
    x = 547,488.81

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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.