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Finding the Third Proportional to 223,200 and 334,782

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Solution

The third proportional to 223,200 and 334,782 is: 502,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200 : 334,782 = 334,782 : x
  2. Step 2: Convert to fraction form
    223,200/334,782 = 334,782/x
  3. Step 3: Cross multiply
    223,200x = 334,782 × 334,782
  4. Step 4: Simplify right side
    223,200x = 112,078,987,524
  5. Step 5: Solve for x
    x = 112,078,987,524/223,200
  6. Step 6: Final answer
    x = 502,146.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.