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Finding the Third Proportional to 223,392 and 349,680

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Solution

The third proportional to 223,392 and 349,680 is: 547,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,392 : 349,680 = 349,680 : x
  2. Step 2: Convert to fraction form
    223,392/349,680 = 349,680/x
  3. Step 3: Cross multiply
    223,392x = 349,680 × 349,680
  4. Step 4: Simplify right side
    223,392x = 122,276,102,400
  5. Step 5: Solve for x
    x = 122,276,102,400/223,392
  6. Step 6: Final answer
    x = 547,361.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.