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Finding the Third Proportional to 223,500 and 349,650

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Solution

The third proportional to 223,500 and 349,650 is: 547,002.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,500 : 349,650 = 349,650 : x
  2. Step 2: Convert to fraction form
    223,500/349,650 = 349,650/x
  3. Step 3: Cross multiply
    223,500x = 349,650 × 349,650
  4. Step 4: Simplify right side
    223,500x = 122,255,122,500
  5. Step 5: Solve for x
    x = 122,255,122,500/223,500
  6. Step 6: Final answer
    x = 547,002.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.