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Finding the Third Proportional to 223,281 and 334,962

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Solution

The third proportional to 223,281 and 334,962 is: 502,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,281 : 334,962 = 334,962 : x
  2. Step 2: Convert to fraction form
    223,281/334,962 = 334,962/x
  3. Step 3: Cross multiply
    223,281x = 334,962 × 334,962
  4. Step 4: Simplify right side
    223,281x = 112,199,541,444
  5. Step 5: Solve for x
    x = 112,199,541,444/223,281
  6. Step 6: Final answer
    x = 502,503.76

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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.